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102202102212 = 223721671040797
BaseRepresentation
bin101111100101110111…
…0000101000111000100
3100202210122021201120220
41133023232011013010
53133302214232322
6114541225424340
710245443351400
oct1371356050704
9322718251526
10102202102212
113a386471091
121798333b0b0
139839ac8bc2
144d376c8100
1529d271e55c
hex17cbb851c4

102202102212 has 72 divisors (see below), whose sum is σ = 279067086144. Its totient is φ = 29025718848.

The previous prime is 102202102199. The next prime is 102202102243. The reversal of 102202102212 is 212201202201.

It is a junction number, because it is equal to n+sod(n) for n = 102202102191 and 102202102200.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 422203 + ... + 618594.

It is an arithmetic number, because the mean of its divisors is an integer number (3875931752).

Almost surely, 2102202102212 is an apocalyptic number.

102202102212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102202102212 is an abundant number, since it is smaller than the sum of its proper divisors (176864983932).

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

102202102212 is a wasteful number, since it uses less digits than its factorization.

102202102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040985 (or 1040976 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102202102212 its reverse (212201202201), we get a palindrome (314403304413).

The spelling of 102202102212 in words is "one hundred two billion, two hundred two million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 167 196 294 334 501 588 668 1002 1169 2004 2338 3507 4676 7014 8183 14028 16366 24549 32732 49098 98196 1040797 2081594 3122391 4163188 6244782 7285579 12489564 14571158 21856737 29142316 43713474 50999053 87426948 101998106 152997159 173813099 203996212 305994318 347626198 521439297 611988636 695252396 1042878594 1216691693 2085757188 2433383386 3650075079 4866766772 7300150158 8516841851 14600300316 17033683702 25550525553 34067367404 51101051106 102202102212