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101919313 is a prime number
BaseRepresentation
bin1100001001100…
…10101001010001
321002210001000101
412010302221101
5202042404223
614040252401
72345204566
oct604625121
9232701011
10101919313
1152592541
122a171101
13181662b2
14d77086d
158e334ad
hex6132a51

101919313 has 2 divisors, whose sum is σ = 101919314. Its totient is φ = 101919312.

The previous prime is 101919299. The next prime is 101919347. The reversal of 101919313 is 313919101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52751169 + 49168144 = 7263^2 + 7012^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101919313 is a prime.

It is not a weakly prime, because it can be changed into another prime (101919353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50959656 + 50959657.

It is an arithmetic number, because the mean of its divisors is an integer number (50959657).

Almost surely, 2101919313 is an apocalyptic number.

It is an amenable number.

101919313 is a deficient number, since it is larger than the sum of its proper divisors (1).

101919313 is an equidigital number, since it uses as much as digits as its factorization.

101919313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 28.

The square root of 101919313 is about 10095.5095463280. The cubic root of 101919313 is about 467.1096389665.

The spelling of 101919313 in words is "one hundred one million, nine hundred nineteen thousand, three hundred thirteen".