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20137131 = 3271916823
BaseRepresentation
bin100110011010…
…0010010101011
31101220001221200
41030310102223
520123342011
61555335243
7333106560
oct114642253
941801850
1020137131
1110404363
1268b1523
134230981
142962867
151b7b856
hex13344ab

20137131 has 24 divisors (see below), whose sum is σ = 34993920. Its totient is φ = 10900656.

The previous prime is 20137111. The next prime is 20137153. The reversal of 20137131 is 13173102.

It is not a de Polignac number, because 20137131 - 25 = 20137099 is a prime.

It is a super-2 number, since 2×201371312 = 811008089822322, which contains 22 as substring.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (20137111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7215 + ... + 9608.

It is an arithmetic number, because the mean of its divisors is an integer number (1458080).

Almost surely, 220137131 is an apocalyptic number.

20137131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20137131 is a deficient number, since it is larger than the sum of its proper divisors (14856789).

20137131 is a wasteful number, since it uses less digits than its factorization.

20137131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16855 (or 16852 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 20137131 is about 4487.4414759415. The cubic root of 20137131 is about 272.0607338068.

The spelling of 20137131 in words is "twenty million, one hundred thirty-seven thousand, one hundred thirty-one".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1197 16823 50469 117761 151407 319637 353283 958911 1059849 2237459 2876733 6712377 20137131