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102331031220 = 2232511121742467
BaseRepresentation
bin101111101001101100…
…1111001111010110100
3100210010121212222221100
41133103121321322310
53134033220444340
6115002113050100
710251600261615
oct1372331717264
9323117788840
10102331031220
113a442221390
12179ba556930
13985a72b062
144d4a889c0c
1529ddbda830
hex17d3679eb4

102331031220 has 144 divisors (see below), whose sum is σ = 338908909248. Its totient is φ = 24786554880.

The previous prime is 102331031219. The next prime is 102331031249. The reversal of 102331031220 is 22130133201.

102331031220 is a `hidden beast` number, since 1 + 0 + 2 + 331 + 0 + 312 + 20 = 666.

It is a super-2 number, since 2×1023310312202 (a number of 23 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 = 102331031193 and 102331031202.

It is a congruent number.

It is an unprimeable number.

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, 2388427 + ... + 2430893.

It is an arithmetic number, because the mean of its divisors is an integer number (2353534092).

Almost surely, 2102331031220 is an apocalyptic number.

102331031220 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 102331031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169454454624).

102331031220 is an abundant number, since it is smaller than the sum of its proper divisors (236577878028).

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

102331031220 is a wasteful number, since it uses less digits than its factorization.

102331031220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43710 (or 43705 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102331031220 its reverse (22130133201), we get a palindrome (124461164421).

The spelling of 102331031220 in words is "one hundred two billion, three hundred thirty-one million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1217 1980 2434 3651 4868 6085 7302 10953 12170 13387 14604 18255 21906 24340 26774 36510 40161 42467 43812 53548 54765 66935 73020 80322 84934 109530 120483 127401 133870 160644 169868 200805 212335 219060 240966 254802 267740 382203 401610 424670 467137 481932 509604 602415 637005 764406 803220 849340 934274 1204830 1274010 1401411 1528812 1868548 1911015 2335685 2409660 2548020 2802822 3822030 4204233 4671370 5605644 7007055 7644060 8408466 9342740 14014110 16816932 21021165 28028220 42042330 51682339 84084660 103364678 155047017 206729356 258411695 310094034 465141051 516823390 568505729 620188068 775235085 930282102 1033646780 1137011458 1550470170 1705517187 1860564204 2274022916 2325705255 2842528645 3100940340 3411034374 4651410510 5116551561 5685057290 6822068748 8527585935 9302821020 10233103122 11370114580 17055171870 20466206244 25582757805 34110343740 51165515610 102331031220