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137053331 is a prime number
BaseRepresentation
bin10000010101101…
…00010010010011
3100112220000211022
420022310102103
5240041201311
621333310055
73252635252
oct1012642223
9315800738
10137053331
11703aa218
1239a9532b
132251805c
14142b8799
15c0735db
hex82b4493

137053331 has 2 divisors, whose sum is σ = 137053332. Its totient is φ = 137053330.

The previous prime is 137053277. The next prime is 137053351. The reversal of 137053331 is 133350731.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137053331 is a prime.

It is a super-2 number, since 2×1370533312 = 37567231076391122, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137053331.

It is not a weakly prime, because it can be changed into another prime (137053351) 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 as a sum of consecutive naturals, namely, 68526665 + 68526666.

It is an arithmetic number, because the mean of its divisors is an integer number (68526666).

Almost surely, 2137053331 is an apocalyptic number.

137053331 is a deficient number, since it is larger than the sum of its proper divisors (1).

137053331 is an equidigital number, since it uses as much as digits as its factorization.

137053331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2835, while the sum is 26.

The square root of 137053331 is about 11706.9778764633. The cubic root of 137053331 is about 515.5805574723.

The spelling of 137053331 in words is "one hundred thirty-seven million, fifty-three thousand, three hundred thirty-one".