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100404313019 is a prime number
BaseRepresentation
bin101110110000010010…
…0000011101110111011
3100121011100102120102222
41131200210003232323
53121112001004034
6114043004514255
710153053402443
oct1354044035673
9317140376388
10100404313019
113964368749a
121756124b98b
13961150120a
144c06a29123
1529299a112e
hex1760903bbb

100404313019 has 2 divisors, whose sum is σ = 100404313020. Its totient is φ = 100404313018.

The previous prime is 100404313007. The next prime is 100404313021. The reversal of 100404313019 is 910313404001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100404313019 is a prime.

It is a super-2 number, since 2×1004043130192 (a number of 23 digits) contains 22 as substring.

Together with 100404313021, 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 (100404313099) 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, 50202156509 + 50202156510.

It is an arithmetic number, because the mean of its divisors is an integer number (50202156510).

Almost surely, 2100404313019 is an apocalyptic number.

100404313019 is a deficient number, since it is larger than the sum of its proper divisors (1).

100404313019 is an equidigital number, since it uses as much as digits as its factorization.

100404313019 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 100404313019 in words is "one hundred billion, four hundred four million, three hundred thirteen thousand, nineteen".