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133264131 = 371113199223
BaseRepresentation
bin1111111000101…
…11001100000011
3100021202112000120
413330113030003
5233103423011
621120151323
73205504110
oct774271403
9307675016
10133264131
1169251350
1238768543
13217bc420
14139ad907
15ba75a06
hex7f17303

133264131 has 64 divisors (see below), whose sum is σ = 240844800. Its totient is φ = 63296640.

The previous prime is 133264127. The next prime is 133264169. The reversal of 133264131 is 131462331.

It is a happy number.

It is not a de Polignac number, because 133264131 - 22 = 133264127 is a prime.

It is a super-2 number, since 2×1332641312 = 35518657222370322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133264111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 597486 + ... + 597708.

It is an arithmetic number, because the mean of its divisors is an integer number (3763200).

Almost surely, 2133264131 is an apocalyptic number.

133264131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133264131 is a deficient number, since it is larger than the sum of its proper divisors (107580669).

133264131 is a wasteful number, since it uses less digits than its factorization.

133264131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456.

The product of its digits is 1296, while the sum is 24.

The square root of 133264131 is about 11544.0084459429. The cubic root of 133264131 is about 510.7845556324.

The spelling of 133264131 in words is "one hundred thirty-three million, two hundred sixty-four thousand, one hundred thirty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 199 223 231 273 429 597 669 1001 1393 1561 2189 2453 2587 2899 3003 4179 4683 6567 7359 7761 8697 15323 17171 18109 20293 28457 31889 44377 45969 51513 54327 60879 85371 95667 133131 199199 223223 310639 488147 576901 597597 669669 931917 1464441 1730703 3417029 4038307 6345911 10251087 12114921 19037733 44421377 133264131