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1100101012020 = 2232531613231979
BaseRepresentation
bin10000000000100011001…
…000010100101000110100
310220011112221010201011200
4100000203020110220310
5121011001324341040
62201213542332500
7142323346213143
oct20004310245064
93804487121150
101100101012020
113946063838aa
1215925972a130
137c97b9b45ba
143b360a7d75a
151d9397a5630
hex10023214a34

1100101012020 has 144 divisors (see below), whose sum is σ = 3501087582720. Its totient is φ = 279242899200.

The previous prime is 1100101012007. The next prime is 1100101012027. The reversal of 1100101012020 is 202101010011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1100101011993 and 1100101012011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100101012027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1275610 + ... + 1956369.

Almost surely, 21100101012020 is an apocalyptic number.

1100101012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100101012020 is an abundant number, since it is smaller than the sum of its proper divisors (2400986570700).

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

1100101012020 is a wasteful number, since it uses less digits than its factorization.

1100101012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3232086 (or 3232081 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1100101012020 its reverse (202101010011), we get a palindrome (1302202022031).

The spelling of 1100101012020 in words is "one trillion, one hundred billion, one hundred one million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 61 62 90 93 122 124 155 180 183 186 244 279 305 310 366 372 465 549 558 610 620 732 915 930 1098 1116 1220 1395 1830 1860 1891 2196 2745 2790 3660 3782 5490 5580 5673 7564 9455 10980 11346 17019 18910 22692 28365 34038 37820 56730 68076 85095 113460 170190 340380 3231979 6463958 9695937 12927916 16159895 19391874 29087811 32319790 38783748 48479685 58175622 64639580 96959370 100191349 116351244 145439055 193918740 197150719 200382698 290878110 300574047 394301438 400765396 500956745 581756220 591452157 601148094 788602876 901722141 985753595 1001913490 1182904314 1202296188 1502870235 1774356471 1803444282 1971507190 2003826980 2365808628 2957260785 3005740470 3548712942 3606888564 3943014380 4508610705 5914521570 6011480940 6111672289 7097425884 8871782355 9017221410 11829043140 12223344578 17743564710 18034442820 18335016867 24446689156 30558361445 35487129420 36670033734 55005050601 61116722890 73340067468 91675084335 110010101202 122233445780 183350168670 220020202404 275025253005 366700337340 550050506010 1100101012020