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131265927 = 3121319
BaseRepresentation
bin1111101001011…
…11010110000111
3100011000000000000
413310233112013
5232101002202
621005252343
73152512332
oct764572607
9304000000
10131265927
1168107041
1237b640b3
132126ca60
141360d619
15b7cd91c
hex7d2f587

131265927 has 52 divisors (see below), whose sum is σ = 223205080. Its totient is φ = 76527504.

The previous prime is 131265917. The next prime is 131265941. The reversal of 131265927 is 729562131.

It is not a de Polignac number, because 131265927 - 28 = 131265671 is a prime.

It is a Duffinian number.

Its product of digits (22680) is a multiple of the sum of its prime divisors (35).

It is a junction number, because it is equal to n+sod(n) for n = 131265891 and 131265900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131265907) 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 51 ways as a sum of consecutive naturals, for example, 6908724 + ... + 6908742.

Almost surely, 2131265927 is an apocalyptic number.

131265927 is a deficient number, since it is larger than the sum of its proper divisors (91939153).

131265927 is an frugal number, since it uses more digits than its factorization.

131265927 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 35 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 131265927 is about 11457.1343275707. The cubic root of 131265927 is about 508.2187339503.

The spelling of 131265927 in words is "one hundred thirty-one million, two hundred sixty-five thousand, nine hundred twenty-seven".

Divisors: 1 3 9 13 19 27 39 57 81 117 171 243 247 351 513 729 741 1053 1539 2187 2223 3159 4617 6561 6669 9477 13851 19683 20007 28431 41553 59049 60021 85293 124659 177147 180063 255879 373977 531441 540189 767637 1121931 1620567 2302911 3365793 4861701 6908733 10097379 14585103 43755309 131265927