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133132131 = 32115325373
BaseRepresentation
bin1111110111101…
…10111101100011
3100021111210221200
413323312331203
5233040212011
621113252243
73204414216
oct773667543
9307453850
10133132131
1169171160
1238704083
1321774312
141397777d
15ba4b856
hex7ef6f63

133132131 has 24 divisors (see below), whose sum is σ = 213750576. Its totient is φ = 79160640.

The previous prime is 133132093. The next prime is 133132133. The reversal of 133132131 is 131231331.

It is a happy number.

It is not a de Polignac number, because 133132131 - 27 = 133132003 is a prime.

It is a super-2 number, since 2×1331321312 = 35448328609202322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133132133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7440 + ... + 17933.

It is an arithmetic number, because the mean of its divisors is an integer number (8906274).

Almost surely, 2133132131 is an apocalyptic number.

133132131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133132131 is a deficient number, since it is larger than the sum of its proper divisors (80618445).

133132131 is a wasteful number, since it uses less digits than its factorization.

133132131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25443 (or 25440 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 133132131 is about 11538.2897779524. The cubic root of 133132131 is about 510.6158534857.

Adding to 133132131 its reverse (131231331), we get a palindrome (264363462).

The spelling of 133132131 in words is "one hundred thirty-three million, one hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 53 99 159 477 583 1749 5247 25373 76119 228357 279103 837309 1344769 2511927 4034307 12102921 14792459 44377377 133132131