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10032031319 is a prime number
BaseRepresentation
bin10010101011111010…
…01010011001010111
3221220011000222211112
421111331022121113
5131021200000234
64335245125235
7503413600502
oct112575123127
927804028745
1010032031319
114288902682
121b3b85981b
13c3b523c0b
146b2500139
153daad8ace
hex255f4a657

10032031319 has 2 divisors, whose sum is σ = 10032031320. Its totient is φ = 10032031318.

The previous prime is 10032031309. The next prime is 10032031357. The reversal of 10032031319 is 91313023001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10032031319 - 28 = 10032031063 is a prime.

It is a super-2 number, since 2×100320313192 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10032031294 and 10032031303.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10032031309) 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, 5016015659 + 5016015660.

It is an arithmetic number, because the mean of its divisors is an integer number (5016015660).

Almost surely, 210032031319 is an apocalyptic number.

10032031319 is a deficient number, since it is larger than the sum of its proper divisors (1).

10032031319 is an equidigital number, since it uses as much as digits as its factorization.

10032031319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 23.

The spelling of 10032031319 in words is "ten billion, thirty-two million, thirty-one thousand, three hundred nineteen".