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133261931 = 11232941443
BaseRepresentation
bin1111111000101…
…10101001101011
3100021202102000002
413330112221223
5233103340211
621120133215
73205464515
oct774265153
9307672002
10133261931
116924a730
123876720b
13217bb41a
14139acbb5
15ba7503b
hex7f16a6b

133261931 has 32 divisors (see below), whose sum is σ = 161118720. Its totient is φ = 108908800.

The previous prime is 133261913. The next prime is 133261937. The reversal of 133261931 is 139162331.

It is not a de Polignac number, because 133261931 - 26 = 133261867 is a prime.

It is a super-2 number, since 2×1332619312 = 35517484507697522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133261894 and 133261903.

It is not an unprimeable number, because it can be changed into a prime (133261937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300596 + ... + 301038.

It is an arithmetic number, because the mean of its divisors is an integer number (5034960).

Almost surely, 2133261931 is an apocalyptic number.

133261931 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133261931 is a deficient number, since it is larger than the sum of its proper divisors (27856789).

133261931 is a wasteful number, since it uses less digits than its factorization.

133261931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547.

The product of its digits is 2916, while the sum is 29.

The square root of 133261931 is about 11543.9131580240. The cubic root of 133261931 is about 510.7817448430.

The spelling of 133261931 in words is "one hundred thirty-three million, two hundred sixty-one thousand, nine hundred thirty-one".

Divisors: 1 11 23 29 41 253 319 443 451 667 943 1189 4873 7337 10189 10373 12847 13079 18163 27347 112079 141317 199793 295481 300817 417749 526727 3250291 4595239 5793997 12114721 133261931