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137049507311 is a prime number
BaseRepresentation
bin111111110100011001…
…0011000010111101111
3111002202012211022200012
41333220302120113233
54221134133213221
6142543142323435
712621133406543
oct1775062302757
9432665738605
10137049507311
1153138968332
122268972957b
13cc01522832
1468c1831a23
153871bab65b
hex1fe8c985ef

137049507311 has 2 divisors, whose sum is σ = 137049507312. Its totient is φ = 137049507310.

The previous prime is 137049507293. The next prime is 137049507337. The reversal of 137049507311 is 113705940731.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137049507311 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137049506311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68524753655 + 68524753656.

It is an arithmetic number, because the mean of its divisors is an integer number (68524753656).

Almost surely, 2137049507311 is an apocalyptic number.

137049507311 is a deficient number, since it is larger than the sum of its proper divisors (1).

137049507311 is an equidigital number, since it uses as much as digits as its factorization.

137049507311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 79380, while the sum is 41.

The spelling of 137049507311 in words is "one hundred thirty-seven billion, forty-nine million, five hundred seven thousand, three hundred eleven".