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131105997 = 32113134231
BaseRepresentation
bin1111101000010…
…00010011001101
3100010200212121200
413310020103031
5232030342442
621002020113
73151245141
oct764102315
9303625550
10131105997
1168007970
1237aa7639
1321215019
14135ab221
15b79b34c
hex7d084cd

131105997 has 24 divisors (see below), whose sum is σ = 207300288. Its totient is φ = 79185600.

The previous prime is 131105993. The next prime is 131105999. The reversal of 131105997 is 799501131.

It is not a de Polignac number, because 131105997 - 22 = 131105993 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131105993) 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 23 ways as a sum of consecutive naturals, for example, 28872 + ... + 33102.

It is an arithmetic number, because the mean of its divisors is an integer number (8637512).

Almost surely, 2131105997 is an apocalyptic number.

It is an amenable number.

131105997 is a deficient number, since it is larger than the sum of its proper divisors (76194291).

131105997 is a wasteful number, since it uses less digits than its factorization.

131105997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4561 (or 4558 counting only the distinct ones).

The product of its (nonzero) digits is 8505, while the sum is 36.

The square root of 131105997 is about 11450.1527064053. The cubic root of 131105997 is about 508.0122511874.

The spelling of 131105997 in words is "one hundred thirty-one million, one hundred five thousand, nine hundred ninety-seven".

Divisors: 1 3 9 11 33 99 313 939 2817 3443 4231 10329 12693 30987 38079 46541 139623 418869 1324303 3972909 11918727 14567333 43701999 131105997