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101124319 is a prime number
BaseRepresentation
bin1100000011100…
…00100011011111
321001021122111011
412001300203133
5201341434234
614011240051
72335354042
oct601604337
9231248434
10101124319
115209a21a
1229a49027
1317c4849a
14d604c59
158d27b64
hex60708df

101124319 has 2 divisors, whose sum is σ = 101124320. Its totient is φ = 101124318.

The previous prime is 101124311. The next prime is 101124337. The reversal of 101124319 is 913421101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101124319 - 23 = 101124311 is a prime.

It is a super-2 number, since 2×1011243192 = 20452255786427522, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101124319.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101124311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50562159 + 50562160.

It is an arithmetic number, because the mean of its divisors is an integer number (50562160).

Almost surely, 2101124319 is an apocalyptic number.

101124319 is a deficient number, since it is larger than the sum of its proper divisors (1).

101124319 is an equidigital number, since it uses as much as digits as its factorization.

101124319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 101124319 is about 10056.0588204326. The cubic root of 101124319 is about 465.8919466173.

The spelling of 101124319 in words is "one hundred one million, one hundred twenty-four thousand, three hundred nineteen".