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135241570431 = 33112061122093
BaseRepresentation
bin111110111110100000…
…1101001100001111111
3110221002012212121112000
41331331001221201333
54203433320223211
6142043520113343
712525261244542
oct1757501514177
9427065777460
10135241570431
11523a0382620
1222264165853
13c9a3ab3cb6
14678d690859
1537b80d6656
hex1f7d06987f

135241570431 has 32 divisors (see below), whose sum is σ = 218592733440. Its totient is φ = 81956901600.

The previous prime is 135241570397. The next prime is 135241570439. The reversal of 135241570431 is 134075142531.

135241570431 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 41 + 570 + 43 + 1 = 666.

It is not a de Polignac number, because 135241570431 - 218 = 135241308287 is a prime.

It is a super-2 number, since 2×1352415704312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135241570439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6110421 + ... + 6132513.

It is an arithmetic number, because the mean of its divisors is an integer number (6831022920).

Almost surely, 2135241570431 is an apocalyptic number.

135241570431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135241570431 is a deficient number, since it is larger than the sum of its proper divisors (83351163009).

135241570431 is a wasteful number, since it uses less digits than its factorization.

135241570431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42724 (or 42718 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 135241570431 in words is "one hundred thirty-five billion, two hundred forty-one million, five hundred seventy thousand, four hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 297 20611 22093 61833 66279 185499 198837 226721 243023 556497 596511 680163 729069 2040489 2187207 6121467 6561621 455358823 1366076469 4098229407 5008947053 12294688221 15026841159 45080523477 135241570431