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10032310319 is a prime number
BaseRepresentation
bin10010101011111100…
…01110100000101111
3221220011120011112212
421111332032200233
5131021232412234
64335255121035
7503416142063
oct112576164057
927804504485
1010032310319
114288a83259
121b3b97317b
13c3b5c0bc5
146b2573aa3
153dab415ce
hex255f8e82f

10032310319 has 2 divisors, whose sum is σ = 10032310320. Its totient is φ = 10032310318.

The previous prime is 10032310307. The next prime is 10032310363. The reversal of 10032310319 is 91301323001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10032310319 - 228 = 9763874863 is a prime.

It is a super-2 number, since 2×100323103192 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10032310294 and 10032310303.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10032310399) 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, 5016155159 + 5016155160.

It is an arithmetic number, because the mean of its divisors is an integer number (5016155160).

Almost surely, 210032310319 is an apocalyptic number.

10032310319 is a deficient number, since it is larger than the sum of its proper divisors (1).

10032310319 is an equidigital number, since it uses as much as digits as its factorization.

10032310319 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 10032310319 in words is "ten billion, thirty-two million, three hundred ten thousand, three hundred nineteen".