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137793321331541 is a prime number
BaseRepresentation
bin11111010101001010000001…
…111110000110101101010101
3200001212220122111000111100122
4133111022001332012231111
5121030101210230102131
61205021213344521325
741011144646060261
oct3725120176065525
9601786574014318
10137793321331541
113a9a5901699857
1213555328620245
135bb6b152b0545
1426053377670a1
1510de4c1a94d7b
hex7d5281f86b55

137793321331541 has 2 divisors, whose sum is σ = 137793321331542. Its totient is φ = 137793321331540.

The previous prime is 137793321331537. The next prime is 137793321331607. The reversal of 137793321331541 is 145133123397731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 133723297526641 + 4070023804900 = 11563879^2 + 2017430^2 .

It is a cyclic number.

It is not a de Polignac number, because 137793321331541 - 22 = 137793321331537 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137793321351541) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68896660665770 + 68896660665771.

It is an arithmetic number, because the mean of its divisors is an integer number (68896660665771).

Almost surely, 2137793321331541 is an apocalyptic number.

It is an amenable number.

137793321331541 is a deficient number, since it is larger than the sum of its proper divisors (1).

137793321331541 is an equidigital number, since it uses as much as digits as its factorization.

137793321331541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4286520, while the sum is 53.

The spelling of 137793321331541 in words is "one hundred thirty-seven trillion, seven hundred ninety-three billion, three hundred twenty-one million, three hundred thirty-one thousand, five hundred forty-one".