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130436315226525 = 35271122586374931
BaseRepresentation
bin11101101010000110010010…
…001111000010000110011101
3122002211120221002002022022110
4131222012102033002012131
5114044032033144222100
61141225341015304233
736321466326014460
oct3552062217020635
9562746832068273
10130436315226525
1138619804528830
121276752207b079
1357a2126753939
14242d2193d32d7
151012e3421e250
hex76a1923c219d

130436315226525 has 48 divisors (see below), whose sum is σ = 268868207190528. Its totient is φ = 54207299832000.

The previous prime is 130436315226499. The next prime is 130436315226527. The reversal of 130436315226525 is 525622513634031.

It is not a de Polignac number, because 130436315226525 - 212 = 130436315222429 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130436315226527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11293181691 + ... + 11293193240.

It is an arithmetic number, because the mean of its divisors is an integer number (5601420983136).

Almost surely, 2130436315226525 is an apocalyptic number.

130436315226525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130436315226525 is an abundant number, since it is smaller than the sum of its proper divisors (138431891964003).

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

130436315226525 is a wasteful number, since it uses less digits than its factorization.

130436315226525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22586374962 (or 22586374957 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 48.

The spelling of 130436315226525 in words is "one hundred thirty trillion, four hundred thirty-six billion, three hundred fifteen million, two hundred twenty-six thousand, five hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 105 165 175 231 275 385 525 825 1155 1925 5775 22586374931 67759124793 112931874655 158104624517 248450124241 338795623965 474313873551 564659373275 745350372723 790523122585 1242250621205 1693978119825 1739150869687 2371569367755 3726751863615 3952615612925 5217452609061 6211253106025 8695754348435 11857846838775 18633759318075 26087263045305 43478771742175 130436315226525