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131141133 = 3353113811
BaseRepresentation
bin1111101000100…
…00111000001101
3100010202122211000
413310100320031
5232033004013
621002450513
73151452444
oct764207015
9303678730
10131141133
1168031302
1237b03a39
1321228006
14135b9d5b
15b7a6973
hex7d10e0d

131141133 has 32 divisors (see below), whose sum is σ = 199946880. Its totient is φ = 84913920.

The previous prime is 131141117. The next prime is 131141149. The reversal of 131141133 is 331141131.

It is an interprime number because it is at equal distance from previous prime (131141117) and next prime (131141149).

It is not a de Polignac number, because 131141133 - 24 = 131141117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131141833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161298 + ... + 162108.

It is an arithmetic number, because the mean of its divisors is an integer number (6248340).

Almost surely, 2131141133 is an apocalyptic number.

It is an amenable number.

131141133 is a deficient number, since it is larger than the sum of its proper divisors (68805747).

131141133 is a wasteful number, since it uses less digits than its factorization.

131141133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 980 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 131141133 is about 11451.6869063034. The cubic root of 131141133 is about 508.0576290357.

Adding to 131141133 its reverse (331141131), we get a palindrome (462282264).

The spelling of 131141133 in words is "one hundred thirty-one million, one hundred forty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 27 53 113 159 339 477 811 1017 1431 2433 3051 5989 7299 17967 21897 42983 53901 91643 128949 161703 274929 386847 824787 1160541 2474361 4857079 14571237 43713711 131141133