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132520424025231 = 32112373288919267
BaseRepresentation
bin11110001000011011010000…
…110011001010110010001111
3122101012211101012110211111100
4132020123100303022302033
5114332203312022301411
61145503013051554143
736625166434350234
oct3610332063126217
9571184335424440
10132520424025231
113925266161aa00
1212a43419a5b953
1358c3812445b48
1424a20465b378b
15104c261282456
hex7886d0ccac8f

132520424025231 has 36 divisors (see below), whose sum is σ = 216088573746136. Its totient is φ = 78144721760160.

The previous prime is 132520424025229. The next prime is 132520424025257.

132520424025231 is a `hidden beast` number, since 1 + 3 + 2 + 52 + 0 + 42 + 40 + 2 + 523 + 1 = 666.

132520424025231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 132520424025231 - 21 = 132520424025229 is a prime.

It is a super-2 number, since 2×1325204240252312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132520424025221) 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 35 ways as a sum of consecutive naturals, for example, 1644419341 + ... + 1644499926.

Almost surely, 2132520424025231 is an apocalyptic number.

132520424025231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132520424025231 is a deficient number, since it is larger than the sum of its proper divisors (83568149720905).

132520424025231 is a wasteful number, since it uses less digits than its factorization.

132520424025231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288919332 (or 3288919318 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 132520424025231 in words is "one hundred thirty-two trillion, five hundred twenty billion, four hundred twenty-four million, twenty-five thousand, two hundred thirty-one".

Divisors: 1 3 9 11 33 37 99 111 121 333 363 407 1089 1221 3663 4477 13431 40293 3288919267 9866757801 29600273403 36178111937 108534335811 121690012879 325603007433 365070038637 397959231307 1095210115911 1193877693921 1338590141669 3581633081763 4015770425007 12047311275021 14724491558359 44173474675077 132520424025231