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131522301426113 = 13241160911797033
BaseRepresentation
bin11101111001111001101100…
…000011100111100111000001
3122020200102001022201020212022
4131321321230003213213001
5114214330133131113423
61143420302224411225
736463113144265163
oct3571715403474701
9566612038636768
10131522301426113
11389a8327415094
1212901aa0776b15
1358506660ca700
1424699db630933
1510312e4762dc8
hex779e6c0e79c1

131522301426113 has 24 divisors (see below), whose sum is σ = 145981925351640. Its totient is φ = 118370475325440.

The previous prime is 131522301426107. The next prime is 131522301426121. The reversal of 131522301426113 is 311624103225131.

It can be written as a sum of positive squares in 12 ways, for example, as 35302230298624 + 96220071127489 = 5941568^2 + 9809183^2 .

It is not a de Polignac number, because 131522301426113 - 216 = 131522301360577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131522301416113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5250245 + ... + 17047277.

It is an arithmetic number, because the mean of its divisors is an integer number (6082580222985).

Almost surely, 2131522301426113 is an apocalyptic number.

131522301426113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131522301426113 is a deficient number, since it is larger than the sum of its proper divisors (14459623925527).

131522301426113 is a wasteful number, since it uses less digits than its factorization.

131522301426113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11798709 (or 11798696 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 131522301426113 in words is "one hundred thirty-one trillion, five hundred twenty-two billion, three hundred one million, four hundred twenty-six thousand, one hundred thirteen".

Divisors: 1 13 41 169 533 1609 6929 20917 65969 271921 857597 11148761 11797033 153361429 483678353 1993698577 6287818589 18981426097 81741641657 246758539261 778238469977 3207861010393 10117100109701 131522301426113