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123302212221020 = 22572238365908111
BaseRepresentation
bin11100000010010010001000…
…100011110011100001011100
3121011120120120011122210212112
4130002102020203303201130
5112130140412312033040
61114124130533053152
734654201523012600
oct3402221043634134
9534516504583775
10123302212221020
11363191a1353618
12119b49654871b8
1353a546c1a85a1
142263c04c07500
15e3c59088b365
hex7024888f385c

123302212221020 has 144 divisors (see below), whose sum is σ = 318092584578048. Its totient is φ = 39949805427840.

The previous prime is 123302212220983. The next prime is 123302212221031. The reversal of 123302212221020 is 20122212203321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31083236 + ... + 34824875.

It is an arithmetic number, because the mean of its divisors is an integer number (2208976281792).

Almost surely, 2123302212221020 is an apocalyptic number.

123302212221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123302212221020 is an abundant number, since it is smaller than the sum of its proper divisors (194790372357028).

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

123302212221020 is a wasteful number, since it uses less digits than its factorization.

123302212221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65908240 (or 65908231 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 123302212221020 its reverse (20122212203321), we get a palindrome (143424424424341).

The spelling of 123302212221020 in words is "one hundred twenty-three trillion, three hundred two billion, two hundred twelve million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 83 92 98 115 140 161 166 196 230 245 322 332 415 460 490 581 644 805 830 980 1127 1162 1610 1660 1909 2254 2324 2905 3220 3818 4067 4508 5635 5810 7636 8134 9545 11270 11620 13363 16268 19090 20335 22540 26726 38180 40670 53452 66815 81340 93541 133630 187082 267260 374164 467705 935410 1870820 65908111 131816222 263632444 329540555 461356777 659081110 922713554 1318162220 1515886553 1845427108 2306783885 3031773106 3229497439 4613567770 5470373213 6063546212 6458994878 7579432765 9227135540 10611205871 10940746426 12917989756 15158865530 16147487195 21222411742 21881492852 27351866065 30317731060 32294974390 38292612491 42444823484 53056029355 54703732130 64589948780 74278441097 76585224982 106112058710 109407464260 125818583899 148556882194 153170449964 191463062455 212224117420 251637167798 268048287437 297113764388 371392205485 382926124910 503274335596 536096574874 629092919495 742784410970 765852249820 880730087293 1072193149748 1258185838990 1340241437185 1485568821940 1761460174586 2516371677980 2680482874370 3522920349172 4403650436465 5360965748740 6165110611051 8807300872930 12330221222102 17614601745860 24660442444204 30825553055255 61651106110510 123302212221020