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10400130329 is a prime number
BaseRepresentation
bin10011010111110010…
…10110010100011001
3222211210200100202012
421223321112110121
5132244413132304
64435554515305
7515503435451
oct115371262431
928753610665
1010400130329
114457669936
122022b95b35
13c99876194
1470935cd61
1540d09a16e
hex26be56519

10400130329 has 2 divisors, whose sum is σ = 10400130330. Its totient is φ = 10400130328.

The previous prime is 10400130313. The next prime is 10400130331. The reversal of 10400130329 is 92303100401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8006670400 + 2393459929 = 89480^2 + 48923^2 .

It is a cyclic number.

It is not a de Polignac number, because 10400130329 - 24 = 10400130313 is a prime.

Together with 10400130331, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10400130379) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200065164 + 5200065165.

It is an arithmetic number, because the mean of its divisors is an integer number (5200065165).

Almost surely, 210400130329 is an apocalyptic number.

It is an amenable number.

10400130329 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400130329 is an equidigital number, since it uses as much as digits as its factorization.

10400130329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

The spelling of 10400130329 in words is "ten billion, four hundred million, one hundred thirty thousand, three hundred twenty-nine".