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102211210212 = 223831734211409
BaseRepresentation
bin101111100110001000…
…0110100101111100100
3100202211021102110102020
41133030100310233210
53133312032211322
6114542152543140
710245613644336
oct1371420645744
9322737373366
10102211210212
113a390622061
12179863b1ab0
13983b967757
144d389b9456
1529d341d05c
hex17cc434be4

102211210212 has 96 divisors (see below), whose sum is σ = 243510744960. Its totient is φ = 33362165760.

The previous prime is 102211210183. The next prime is 102211210219. The reversal of 102211210212 is 212012112201.

It is a junction number, because it is equal to n+sod(n) for n = 102211210191 and 102211210200.

It is not an unprimeable number, because it can be changed into a prime (102211210219) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 72540964 + ... + 72542372.

It is an arithmetic number, because the mean of its divisors is an integer number (2536570260).

Almost surely, 2102211210212 is an apocalyptic number.

102211210212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102211210212 is an abundant number, since it is smaller than the sum of its proper divisors (141299534748).

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

102211210212 is a wasteful number, since it uses less digits than its factorization.

102211210212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102211210212 its reverse (212012112201), we get a palindrome (314223322413).

The spelling of 102211210212 in words is "one hundred two billion, two hundred eleven million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 83 166 173 249 332 346 421 498 519 692 842 996 1038 1263 1409 1684 2076 2526 2818 4227 5052 5636 8454 14359 16908 28718 34943 43077 57436 69886 72833 86154 104829 116947 139772 145666 172308 209658 218499 233894 243757 291332 350841 419316 436998 467788 487514 593189 701682 731271 873996 975028 1186378 1403364 1462542 1779567 2372756 2925084 3559134 6045139 7118268 12090278 18135417 20231831 24180556 36270834 40463662 49234687 60695493 72541668 80927324 98469374 102621697 121390986 147704061 196938748 205243394 242781972 295408122 307865091 410486788 590816244 615730182 1231460364 8517600851 17035201702 25552802553 34070403404 51105605106 102211210212