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131993153 = 113210337
BaseRepresentation
bin1111101111000…
…00111001000001
3100012100221120022
413313200321001
5232242240103
621033023225
73161631455
oct767407101
9305327508
10131993153
1168563456
1238254b15
1321465a76
141375c665
15b8c4138
hex7de0e41

131993153 has 6 divisors (see below), whose sum is σ = 133184454. Its totient is φ = 130812416.

The previous prime is 131993143. The next prime is 131993221. The reversal of 131993153 is 351399131.

It can be written as a sum of positive squares in 3 ways, for example, as 35796289 + 96196864 = 5983^2 + 9808^2 .

It is not a de Polignac number, because 131993153 - 210 = 131992129 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131993143) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7601 + ... + 17937.

It is an arithmetic number, because the mean of its divisors is an integer number (22197409).

Almost surely, 2131993153 is an apocalyptic number.

It is an amenable number.

131993153 is a deficient number, since it is larger than the sum of its proper divisors (1191301).

131993153 is an equidigital number, since it uses as much as digits as its factorization.

131993153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10563 (or 10450 counting only the distinct ones).

The product of its digits is 10935, while the sum is 35.

The square root of 131993153 is about 11488.8273117843. The cubic root of 131993153 is about 509.1555331566.

The spelling of 131993153 in words is "one hundred thirty-one million, nine hundred ninety-three thousand, one hundred fifty-three".

Divisors: 1 113 10337 12769 1168081 131993153