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131329629 = 3234074283
BaseRepresentation
bin1111101001111…
…10111001011101
3100011010020101100
413310332321131
5232110022004
621010503313
73153166134
oct764767135
9304106340
10131329629
116814a992
1237b94b39
1321292a52
141362891b
15b7e2739
hex7d3ee5d

131329629 has 12 divisors (see below), whose sum is σ = 189798336. Its totient is φ = 87506952.

The previous prime is 131329621. The next prime is 131329633. The reversal of 131329629 is 926923131.

It is a happy number.

131329629 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 29 + 629 = 666.

It is not a de Polignac number, because 131329629 - 23 = 131329621 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131329593 and 131329602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131329621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28522 + ... + 32804.

It is an arithmetic number, because the mean of its divisors is an integer number (15816528).

Almost surely, 2131329629 is an apocalyptic number.

It is an amenable number.

131329629 is a deficient number, since it is larger than the sum of its proper divisors (58468707).

131329629 is a wasteful number, since it uses less digits than its factorization.

131329629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7696 (or 7693 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 131329629 is about 11459.9140049130. The cubic root of 131329629 is about 508.3009317578.

The spelling of 131329629 in words is "one hundred thirty-one million, three hundred twenty-nine thousand, six hundred twenty-nine".

Divisors: 1 3 9 3407 4283 10221 12849 30663 38547 14592181 43776543 131329629