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101857385489 is a prime number
BaseRepresentation
bin101111011011100101…
…1000101110000010001
3100201220121122022010212
41132313023011300101
53132100442313424
6114443113133505
710234056330356
oct1366713056021
9321817568125
10101857385489
113a219925332
12178a79ba295
1397b3572702
144d039d462d
1529b232b10e
hex17b72c5c11

101857385489 has 2 divisors, whose sum is σ = 101857385490. Its totient is φ = 101857385488.

The previous prime is 101857385449. The next prime is 101857385533. The reversal of 101857385489 is 984583758101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96824901889 + 5032483600 = 311167^2 + 70940^2 .

It is a cyclic number.

It is not a de Polignac number, because 101857385489 - 236 = 33137908753 is a prime.

It is not a weakly prime, because it can be changed into another prime (101857385449) 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, 50928692744 + 50928692745.

It is an arithmetic number, because the mean of its divisors is an integer number (50928692745).

Almost surely, 2101857385489 is an apocalyptic number.

It is an amenable number.

101857385489 is a deficient number, since it is larger than the sum of its proper divisors (1).

101857385489 is an equidigital number, since it uses as much as digits as its factorization.

101857385489 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9676800, while the sum is 59.

The spelling of 101857385489 in words is "one hundred one billion, eight hundred fifty-seven million, three hundred eighty-five thousand, four hundred eighty-nine".