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131233137 = 37311991013
BaseRepresentation
bin1111101001001…
…11010101110001
3100010221100000120
413310213111301
5232043430022
621004440453
73152314620
oct764472561
9303840016
10131233137
1168094442
1237b49129
132125ab59
14136016b7
15b7c3d5c
hex7d27571

131233137 has 32 divisors (see below), whose sum is σ = 207667200. Its totient is φ = 72135360.

The previous prime is 131233121. The next prime is 131233139. The reversal of 131233137 is 731332131.

It is not a de Polignac number, because 131233137 - 24 = 131233121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131233139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129043 + ... + 130055.

It is an arithmetic number, because the mean of its divisors is an integer number (6489600).

Almost surely, 2131233137 is an apocalyptic number.

It is an amenable number.

131233137 is a deficient number, since it is larger than the sum of its proper divisors (76434063).

131233137 is a wasteful number, since it uses less digits than its factorization.

131233137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253.

The product of its digits is 1134, while the sum is 24.

The square root of 131233137 is about 11455.7032520924. The cubic root of 131233137 is about 508.1764130413.

Adding to 131233137 its reverse (731332131), we get a palindrome (862565268).

The spelling of 131233137 in words is "one hundred thirty-one million, two hundred thirty-three thousand, one hundred thirty-seven".

Divisors: 1 3 7 21 31 93 199 217 597 651 1013 1393 3039 4179 6169 7091 18507 21273 31403 43183 94209 129549 201587 219821 604761 659463 1411109 4233327 6249197 18747591 43744379 131233137