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137417031 = 3215268559
BaseRepresentation
bin10000011000011…
…01000101000111
3100120120111201200
420030031011013
5240134321111
621345153543
73256011513
oct1014150507
9316514650
10137417031
11706284a4
123a02b8b3
132261476b
1414371143
15c0e6256
hex830d147

137417031 has 6 divisors (see below), whose sum is σ = 198491280. Its totient is φ = 91611348.

The previous prime is 137417009. The next prime is 137417057. The reversal of 137417031 is 130714731.

It is not a de Polignac number, because 137417031 - 25 = 137416999 is a prime.

It is a super-2 number, since 2×1374170312 = 37766880817709922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137416986 and 137417004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137417081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7634271 + ... + 7634288.

It is an arithmetic number, because the mean of its divisors is an integer number (33081880).

Almost surely, 2137417031 is an apocalyptic number.

137417031 is a deficient number, since it is larger than the sum of its proper divisors (61074249).

137417031 is a wasteful number, since it uses less digits than its factorization.

137417031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15268565 (or 15268562 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 137417031 is about 11722.5010556621. The cubic root of 137417031 is about 516.0362219930.

The spelling of 137417031 in words is "one hundred thirty-seven million, four hundred seventeen thousand, thirty-one".

Divisors: 1 3 9 15268559 45805677 137417031