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10137328757 is a prime number
BaseRepresentation
bin10010111000011101…
…10101110001110101
3222011111011122202122
421130032311301311
5131230124010012
64353530045325
7506132605223
oct113416656165
928144148678
1010137328757
114332292156
121b6ab79845
13c572a09aa
146c24adb13
153e4e87e72
hex25c3b5c75

10137328757 has 2 divisors, whose sum is σ = 10137328758. Its totient is φ = 10137328756.

The previous prime is 10137328717. The next prime is 10137328777. The reversal of 10137328757 is 75782373101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10130221201 + 7107556 = 100649^2 + 2666^2 .

It is a cyclic number.

It is not a de Polignac number, because 10137328757 - 28 = 10137328501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10137328717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5068664378 + 5068664379.

It is an arithmetic number, because the mean of its divisors is an integer number (5068664379).

Almost surely, 210137328757 is an apocalyptic number.

It is an amenable number.

10137328757 is a deficient number, since it is larger than the sum of its proper divisors (1).

10137328757 is an equidigital number, since it uses as much as digits as its factorization.

10137328757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 246960, while the sum is 44.

The spelling of 10137328757 in words is "ten billion, one hundred thirty-seven million, three hundred twenty-eight thousand, seven hundred fifty-seven".