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102210112212 = 223132922592863
BaseRepresentation
bin101111100110000110…
…0101000101011010100
3100202211012100200020120
41133030030220223110
53133311242042322
6114542113231540
710245601422225
oct1371414505324
9322735320216
10102210112212
113a38aa4211a
1217985b625b0
13983b671a50
144d387b124c
1529d32a2a5c
hex17cc328ad4

102210112212 has 48 divisors (see below), whose sum is σ = 265692080640. Its totient is φ = 30364806528.

The previous prime is 102210112177. The next prime is 102210112253. The reversal of 102210112212 is 212211012201.

It is a super-3 number, since 3×1022101122123 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102210112191 and 102210112200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11291908 + ... + 11300955.

It is an arithmetic number, because the mean of its divisors is an integer number (5535251680).

Almost surely, 2102210112212 is an apocalyptic number.

102210112212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102210112212 is an abundant number, since it is smaller than the sum of its proper divisors (163481968428).

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

102210112212 is a wasteful number, since it uses less digits than its factorization.

102210112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22592912 (or 22592910 counting only the distinct ones).

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

Adding to 102210112212 its reverse (212211012201), we get a palindrome (314421124413).

The spelling of 102210112212 in words is "one hundred two billion, two hundred ten million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 754 1131 1508 2262 4524 22592863 45185726 67778589 90371452 135557178 271114356 293707219 587414438 655193027 881121657 1174828876 1310386054 1762243314 1965579081 2620772108 3524486628 3931158162 7862316324 8517509351 17035018702 25552528053 34070037404 51105056106 102210112212