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13131122130192 = 2431131721784009
BaseRepresentation
bin1011111100010101001111…
…0111101011110100010000
31201111022201110220220010210
42333011103313223310100
53210120014231131232
643532204302524120
72523456306332343
oct277052367536420
951438643826123
1013131122130192
114202972129950
121580a96296640
1374334b18b7c1
1433579a55045a
1517b885ca35cc
hexbf153debd10

13131122130192 has 80 divisors (see below), whose sum is σ = 37007103447360. Its totient is φ = 3978997401600.

The previous prime is 13131122130187. The next prime is 13131122130193. The reversal of 13131122130192 is 29103122113131.

It is not an unprimeable number, because it can be changed into a prime (13131122130193) 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, 16356684 + ... + 17140692.

It is an arithmetic number, because the mean of its divisors is an integer number (462588793092).

Almost surely, 213131122130192 is an apocalyptic number.

13131122130192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13131122130192 is an abundant number, since it is smaller than the sum of its proper divisors (23875981317168).

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

13131122130192 is a wasteful number, since it uses less digits than its factorization.

13131122130192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815752 (or 815746 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The spelling of 13131122130192 in words is "thirteen trillion, one hundred thirty-one billion, one hundred twenty-two million, one hundred thirty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 31721 63442 95163 126884 190326 253768 348931 380652 507536 697862 761304 784009 1046793 1395724 1522608 1568018 2093586 2352027 2791448 3136036 4187172 4704054 5582896 6272072 8374344 8624099 9408108 12544144 16748688 17248198 18816216 25872297 34496396 37632432 51744594 68992792 103489188 137985584 206978376 413956752 24869549489 49739098978 74608648467 99478197956 149217296934 198956395912 273565044379 298434593868 397912791824 547130088758 596869187736 820695133137 1094260177516 1193738375472 1641390266274 2188520355032 3282780532548 4377040710064 6565561065096 13131122130192