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102213130212 = 223222312732079
BaseRepresentation
bin101111100110001100…
…0001001011111100100
3100202211102001000011100
41133030120021133210
53133313030131322
6114542302040100
710245636162114
oct1371430113744
9322742030140
10102213130212
113a391713636
1217986b79030
13983c18a64b
144d38d59044
1529d369bdac
hex17cc6097e4

102213130212 has 36 divisors (see below), whose sum is σ = 259530718720. Its totient is φ = 33918255792.

The previous prime is 102213130211. The next prime is 102213130237. The reversal of 102213130212 is 212031312201.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102213130211) 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 11 ways as a sum of consecutive naturals, for example, 6358012 + ... + 6374067.

Almost surely, 2102213130212 is an apocalyptic number.

102213130212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102213130212 is an abundant number, since it is smaller than the sum of its proper divisors (157317588508).

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

102213130212 is a wasteful number, since it uses less digits than its factorization.

102213130212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12732312 (or 12732307 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102213130212 its reverse (212031312201), we get a palindrome (314244442413).

The spelling of 102213130212 in words is "one hundred two billion, two hundred thirteen million, one hundred thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 223 446 669 892 1338 2007 2676 4014 8028 12732079 25464158 38196237 50928316 76392474 114588711 152784948 229177422 458354844 2839253617 5678507234 8517760851 11357014468 17035521702 25553282553 34071043404 51106565106 102213130212