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135433415524131 = 32120182971510147
BaseRepresentation
bin11110110010110100001100…
…100111110111111100100011
3122202112022022120220021211200
4132302310030213313330203
5120222420113333233011
61200013130245212243
740345512201506034
oct3662641447677443
9582468276807750
10135433415524131
113a175a97359a2a
1213233aa0a01083
135a75415b4c76a
142563025a00a8b
15109ce020ae856
hex7b2d0c9f7f23

135433415524131 has 24 divisors (see below), whose sum is σ = 195812657833104. Its totient is φ = 90202832755200.

The previous prime is 135433415524087. The next prime is 135433415524153. The reversal of 135433415524131 is 131425514334531.

It is a happy number.

135433415524131 is a `hidden beast` number, since 1 + 3 + 5 + 43 + 3 + 41 + 552 + 4 + 13 + 1 = 666.

It is not a de Polignac number, because 135433415524131 - 26 = 135433415524067 is a prime.

It is a super-2 number, since 2×1354334155241312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135433415525131) 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, 88927200 + ... + 90437346.

It is an arithmetic number, because the mean of its divisors is an integer number (8158860743046).

Almost surely, 2135433415524131 is an apocalyptic number.

135433415524131 is a deficient number, since it is larger than the sum of its proper divisors (60379242308973).

135433415524131 is a wasteful number, since it uses less digits than its factorization.

135433415524131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519651 (or 1519648 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

Adding to 135433415524131 its reverse (131425514334531), we get a palindrome (266858929858662).

The spelling of 135433415524131 in words is "one hundred thirty-five trillion, four hundred thirty-three billion, four hundred fifteen million, five hundred twenty-four thousand, one hundred thirty-one".

Divisors: 1 3 9 1201 3603 8297 10809 24891 74673 1510147 4530441 9964697 13591323 29894091 89682273 1813686547 5441059641 12529689659 16323178923 37589068977 112767206931 15048157280459 45144471841377 135433415524131