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102100012212 = 223116119963719
BaseRepresentation
bin101111100010110100…
…0101000110010110100
3100202112112012000102210
41133011220220302310
53133100100342322
6114523141333420
710243063533042
oct1370550506264
9322475160383
10102100012212
113a333882390
1217955107270
139821903013
144d27d11392
1529c87a570c
hex17c5a28cb4

102100012212 has 96 divisors (see below), whose sum is σ = 265483008000. Its totient is φ = 30278793600.

The previous prime is 102100012199. The next prime is 102100012219. The reversal of 102100012212 is 212210001201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100012219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1570489 + ... + 1634207.

It is an arithmetic number, because the mean of its divisors is an integer number (2765448000).

Almost surely, 2102100012212 is an apocalyptic number.

102100012212 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 102100012212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132741504000).

102100012212 is an abundant number, since it is smaller than the sum of its proper divisors (163382995788).

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

102100012212 is a wasteful number, since it uses less digits than its factorization.

102100012212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63997 (or 63995 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102100012212 its reverse (212210001201), we get a palindrome (314310013413).

The spelling of 102100012212 in words is "one hundred two billion, one hundred million, twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 122 132 183 199 244 366 398 597 671 732 796 1194 1342 2013 2189 2388 2684 4026 4378 6567 8052 8756 12139 13134 24278 26268 36417 48556 63719 72834 127438 133529 145668 191157 254876 267058 382314 400587 534116 700909 764628 801174 1401818 1602348 2102727 2803636 3886859 4205454 7773718 8410908 11660577 12680081 15547436 23321154 25360162 38040243 42755449 46642308 50720324 76080486 85510898 128266347 139480891 152160972 171021796 256532694 278961782 418442673 513065388 557923564 773484941 836885346 1546969882 1673770692 2320454823 3093939764 4640909646 8508334351 9281819292 17016668702 25525003053 34033337404 51050006106 102100012212