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10031232329 is a prime number
BaseRepresentation
bin10010101011110100…
…00111010101001001
3221220002112101211022
421111322013111021
5131020443413304
64335220042225
7503404032206
oct112572072511
927802471738
1010031232329
114288407358
121b3b533375
13c3b304341
146b2372cad
153da9cbebe
hex255e87549

10031232329 has 2 divisors, whose sum is σ = 10031232330. Its totient is φ = 10031232328.

The previous prime is 10031232307. The next prime is 10031232349. The reversal of 10031232329 is 92323213001.

10031232329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7526430025 + 2504802304 = 86755^2 + 50048^2 .

It is a cyclic number.

It is not a de Polignac number, because 10031232329 - 28 = 10031232073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10031232298 and 10031232307.

It is not a weakly prime, because it can be changed into another prime (10031232349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5015616164 + 5015616165.

It is an arithmetic number, because the mean of its divisors is an integer number (5015616165).

Almost surely, 210031232329 is an apocalyptic number.

It is an amenable number.

10031232329 is a deficient number, since it is larger than the sum of its proper divisors (1).

10031232329 is an equidigital number, since it uses as much as digits as its factorization.

10031232329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 26.

The spelling of 10031232329 in words is "ten billion, thirty-one million, two hundred thirty-two thousand, three hundred twenty-nine".