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100402314329 is a prime number
BaseRepresentation
bin101110110000001110…
…0011011110001011001
3100121011012200000202102
41131200130123301121
53121110443024304
6114042454013145
710153030406402
oct1354034336131
9317135600672
10100402314329
1139642541889
12175606471b5
139610c81565
144c066689a9
152929708d1e
hex176071bc59

100402314329 has 2 divisors, whose sum is σ = 100402314330. Its totient is φ = 100402314328.

The previous prime is 100402314227. The next prime is 100402314343. The reversal of 100402314329 is 923413204001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54915235600 + 45487078729 = 234340^2 + 213277^2 .

It is a cyclic number.

It is not a de Polignac number, because 100402314329 - 28 = 100402314073 is a prime.

It is not a weakly prime, because it can be changed into another prime (100402314829) 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, 50201157164 + 50201157165.

It is an arithmetic number, because the mean of its divisors is an integer number (50201157165).

Almost surely, 2100402314329 is an apocalyptic number.

It is an amenable number.

100402314329 is a deficient number, since it is larger than the sum of its proper divisors (1).

100402314329 is an equidigital number, since it uses as much as digits as its factorization.

100402314329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 29.

The spelling of 100402314329 in words is "one hundred billion, four hundred two million, three hundred fourteen thousand, three hundred twenty-nine".