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102322312131 = 313191132395113
BaseRepresentation
bin101111101001011100…
…0101001001111000011
3100210010000111000121010
41133102320221033003
53134024002442011
6115001202132003
710251433205544
oct1372270511703
9323100430533
10102322312131
113a438306626
12179b7651003
139858997530
144d4965a4cb
1529dd0671a6
hex17d2e293c3

102322312131 has 64 divisors (see below), whose sum is σ = 156709324800. Its totient is φ = 58866683904.

The previous prime is 102322312121. The next prime is 102322312151. The reversal of 102322312131 is 131213223201.

It is not a de Polignac number, because 102322312131 - 213 = 102322303939 is a prime.

It is a super-2 number, since 2×1023223121312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102322312098 and 102322312107.

It is not an unprimeable number, because it can be changed into a prime (102322312121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20009631 + ... + 20014743.

It is an arithmetic number, because the mean of its divisors is an integer number (2448583200).

Almost surely, 2102322312131 is an apocalyptic number.

102322312131 is a deficient number, since it is larger than the sum of its proper divisors (54387012669).

102322312131 is a wasteful number, since it uses less digits than its factorization.

102322312131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5500.

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

Adding to 102322312131 its reverse (131213223201), we get a palindrome (233535535332).

The spelling of 102322312131 in words is "one hundred two billion, three hundred twenty-two million, three hundred twelve thousand, one hundred thirty-one".

Divisors: 1 3 13 19 39 57 113 239 247 339 717 741 1469 2147 3107 4407 4541 5113 6441 9321 13623 15339 27007 27911 59033 66469 81021 83733 97147 177099 199407 291441 351091 513133 577769 1053273 1222007 1262911 1539399 1733307 3666021 3788733 6670729 7510997 10977611 15886091 20012187 22532991 23218133 32932833 47658273 69654399 138086791 142708943 301835729 414260373 428126829 905507187 1795128283 2623649029 5385384849 7870947087 34107437377 102322312131