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132523055401 = 1131983939499
BaseRepresentation
bin111101101101011111…
…1010101100100101001
3110200001202111201222011
41323122333111210221
54132401400233101
6140514044555521
712401021246002
oct1733277254451
9420052451864
10132523055401
115122589aa90
1221825852ba1
13c65c817019
1465b25dc1a9
1536a95e5751
hex1edafd5929

132523055401 has 16 divisors (see below), whose sum is σ = 149253120000. Its totient is φ = 116574397200.

The previous prime is 132523055383. The next prime is 132523055429. The reversal of 132523055401 is 104550325231.

It is a cyclic number.

It is not a de Polignac number, because 132523055401 - 215 = 132523022633 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132523055101) 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 15 ways as a sum of consecutive naturals, for example, 3335350 + ... + 3374848.

It is an arithmetic number, because the mean of its divisors is an integer number (9328320000).

Almost surely, 2132523055401 is an apocalyptic number.

132523055401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132523055401 is a deficient number, since it is larger than the sum of its proper divisors (16730064599).

132523055401 is a wasteful number, since it uses less digits than its factorization.

132523055401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49380.

The product of its (nonzero) digits is 18000, while the sum is 31.

The spelling of 132523055401 in words is "one hundred thirty-two billion, five hundred twenty-three million, fifty-five thousand, four hundred one".

Divisors: 1 11 31 341 9839 39499 108229 305009 434489 1224469 3355099 13469159 388630661 4274937271 12047550491 132523055401