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123021202300020 = 2232537184611000577
BaseRepresentation
bin11011111110001100011011…
…000100000001110001110100
3121010120201020002220202012200
4123332030123010001301310
5112111034410242100040
61113351054331144500
734624663035053103
oct3376143304016164
9533521202822180
10123021202300020
113621aaa95a6792
121196a3bb8a5130
135384b0775281b
142254387bba03a
15e350e5457630
hex6fe31b101c74

123021202300020 has 144 divisors (see below), whose sum is σ = 383270978654928. Its totient is φ = 31917253754880.

The previous prime is 123021202299953. The next prime is 123021202300027. The reversal of 123021202300020 is 20003202120321.

123021202300020 is a `hidden beast` number, since 12 + 302 + 120 + 230 + 0 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2058731389584 + 120962470910436 = 1434828^2 + 10998294^2 .

It is a super-2 number, since 2×1230212023000202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 123021202299966 and 123021202300002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123021202300027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122449972 + ... + 123450548.

It is an arithmetic number, because the mean of its divisors is an integer number (2661604018437).

Almost surely, 2123021202300020 is an apocalyptic number.

123021202300020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123021202300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191635489327464).

123021202300020 is an abundant number, since it is smaller than the sum of its proper divisors (260249776354908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123021202300020 is a wasteful number, since it uses less digits than its factorization.

123021202300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019090 (or 1019085 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 123021202300020 its reverse (20003202120321), we get a palindrome (143024404420341).

The spelling of 123021202300020 in words is "one hundred twenty-three trillion, twenty-one billion, two hundred two million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 18461 36922 55383 73844 92305 110766 166149 184610 221532 276915 332298 369220 553830 664596 683057 830745 1000577 1107660 1366114 1661490 2001154 2049171 2732228 3001731 3322980 3415285 4002308 4098342 5002885 6003462 6147513 6830570 8196684 9005193 10005770 10245855 12006924 12295026 13661140 15008655 18010386 20011540 20491710 24590052 30017310 30737565 36020772 37021349 40983420 45025965 60034620 61475130 74042698 90051930 111064047 122950260 148085396 180103860 185106745 222128094 333192141 370213490 444256188 555320235 666384282 740426980 1110640470 1332768564 1665960705 2221280940 3331921410 6663842820 18471651997 36943303994 55414955991 73886607988 92358259985 110829911982 166244867973 184716519970 221659823964 277074779955 332489735946 369433039940 554149559910 664979471892 683451123889 831224339865 1108299119820 1366902247778 1662448679730 2050353371667 2733804495556 3324897359460 3417255619445 4100706743334 6151060115001 6834511238890 8201413486668 10251766858335 12302120230002 13669022477780 20503533716670 24604240460004 30755300575005 41007067433340 61510601150010 123021202300020