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137024441 is a prime number
BaseRepresentation
bin10000010101011…
…01001110111001
3100112211120012022
420022231032321
5240034240231
621332524225
73252455111
oct1012551671
9315746168
10137024441
117038a544
1239a80675
1322507b68
14142ac041
15c069c7b
hex82ad3b9

137024441 has 2 divisors, whose sum is σ = 137024442. Its totient is φ = 137024440.

The previous prime is 137024429. The next prime is 137024453. The reversal of 137024441 is 144420731.

137024441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (137024429) and next prime (137024453).

It can be written as a sum of positive squares in only one way, i.e., 129868816 + 7155625 = 11396^2 + 2675^2 .

It is a cyclic number.

It is not a de Polignac number, because 137024441 - 214 = 137008057 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137024441.

It is not a weakly prime, because it can be changed into another prime (137020441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68512220 + 68512221.

It is an arithmetic number, because the mean of its divisors is an integer number (68512221).

Almost surely, 2137024441 is an apocalyptic number.

It is an amenable number.

137024441 is a deficient number, since it is larger than the sum of its proper divisors (1).

137024441 is an equidigital number, since it uses as much as digits as its factorization.

137024441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 137024441 is about 11705.7439319336. The cubic root of 137024441 is about 515.5443278554.

The spelling of 137024441 in words is "one hundred thirty-seven million, twenty-four thousand, four hundred forty-one".