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103322032212 = 223715760712907
BaseRepresentation
bin110000000111001111…
…0010001100001010100
3100212200200122001201210
41200032132101201110
53143100420012322
6115244313421420
710315262532420
oct1401636214124
9325620561653
10103322032212
113a900659073
121803640a870
139987b37189
145002333b80
152a4abe070c
hex180e791854

103322032212 has 96 divisors (see below), whose sum is σ = 277758681088. Its totient is φ = 29281958784.

The previous prime is 103322032157. The next prime is 103322032223. The reversal of 103322032212 is 212230223301.

It is a happy number.

It is a super-2 number, since 2×1033220322122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7998663 + ... + 8011569.

Almost surely, 2103322032212 is an apocalyptic number.

103322032212 is a gapful number since it is divisible by the number (12) 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 103322032212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138879340544).

103322032212 is an abundant number, since it is smaller than the sum of its proper divisors (174436648876).

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

103322032212 is a wasteful number, since it uses less digits than its factorization.

103322032212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13685 (or 13683 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 103322032212 its reverse (212230223301), we get a palindrome (315552255513).

The spelling of 103322032212 in words is "one hundred three billion, three hundred twenty-two million, thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 157 314 471 607 628 942 1099 1214 1821 1884 2198 2428 3297 3642 4249 4396 6594 7284 8498 12747 12907 13188 16996 25494 25814 38721 50988 51628 77442 90349 95299 154884 180698 190598 271047 285897 361396 381196 542094 571794 667093 1084188 1143588 1334186 2001279 2026399 2668372 4002558 4052798 6079197 7834549 8005116 8105596 12158394 14184793 15669098 23503647 24316788 28369586 31338196 42554379 47007294 54841843 56739172 85108758 94014588 109683686 164525529 170217516 219367372 329051058 658102116 1230024193 2460048386 3690072579 4920096772 7380145158 8610169351 14760290316 17220338702 25830508053 34440677404 51661016106 103322032212