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133766313 = 3414092659
BaseRepresentation
bin1111111100100…
…01110010101001
3100022201000212220
413332101302221
5233221010223
621135024253
73212665152
oct776216251
9308630786
10133766313
116956467a
123896b089
1321936b85
1413aa0929
15bb246e3
hex7f91ca9

133766313 has 16 divisors (see below), whose sum is σ = 183220800. Its totient is φ = 86757120.

The previous prime is 133766293. The next prime is 133766323. The reversal of 133766313 is 313667331.

It is a de Polignac number, because none of the positive numbers 2k-133766313 is a prime.

It is a super-2 number, since 2×1337663132 = 35786852987227938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133766323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48978 + ... + 51636.

It is an arithmetic number, because the mean of its divisors is an integer number (11451300).

Almost surely, 2133766313 is an apocalyptic number.

It is an amenable number.

133766313 is a deficient number, since it is larger than the sum of its proper divisors (49454487).

133766313 is a wasteful number, since it uses less digits than its factorization.

133766313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112.

The product of its digits is 20412, while the sum is 33.

The square root of 133766313 is about 11565.7387572087. The cubic root of 133766313 is about 511.4253514230.

The spelling of 133766313 in words is "one hundred thirty-three million, seven hundred sixty-six thousand, three hundred thirteen".

Divisors: 1 3 41 123 409 1227 2659 7977 16769 50307 109019 327057 1087531 3262593 44588771 133766313