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102312221313 = 3131353737497
BaseRepresentation
bin101111101001001001…
…0001001101010000001
3100210002022111100121010
41133102102021222001
53134013412040223
6115000201551133
710251251350341
oct1372222115201
9323068440533
10102312221313
113a432644205
12179b41a54a9
139856873533
144d48190d21
1529dc222393
hex17d2489a81

102312221313 has 16 divisors (see below), whose sum is σ = 137847226176. Its totient is φ = 67495633920.

The previous prime is 102312221267. The next prime is 102312221317. The reversal of 102312221313 is 313122213201.

It is not a de Polignac number, because 102312221313 - 226 = 102245112449 is a prime.

It is a super-3 number, since 3×1023122213133 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102312221313.

It is not an unprimeable number, because it can be changed into a prime (102312221317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230020 + ... + 507477.

It is an arithmetic number, because the mean of its divisors is an integer number (8615451636).

Almost surely, 2102312221313 is an apocalyptic number.

It is an amenable number.

102312221313 is a deficient number, since it is larger than the sum of its proper divisors (35535004863).

102312221313 is a wasteful number, since it uses less digits than its factorization.

102312221313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737984.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 102312221313 its reverse (313122213201), we get a palindrome (415434434514).

The spelling of 102312221313 in words is "one hundred two billion, three hundred twelve million, two hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 3 131 353 393 1059 46243 138729 737497 2212491 96612107 260336441 289836321 781009323 34104073771 102312221313