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101849123393 is a prime number
BaseRepresentation
bin101111011011010101…
…1100100101001000001
3100201220001002112200022
41132312223210221001
53132041333422033
6114442220103225
710233626156543
oct1366653445101
9321801075608
10101849123393
113a2151a1956
12178a5094b15
1397b193bbb4
144d02883693
1529b1748098
hex17b6ae4a41

101849123393 has 2 divisors, whose sum is σ = 101849123394. Its totient is φ = 101849123392.

The previous prime is 101849123381. The next prime is 101849123429. The reversal of 101849123393 is 393321948101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89276659264 + 12572464129 = 298792^2 + 112127^2 .

It is a cyclic number.

It is not a de Polignac number, because 101849123393 - 232 = 97554156097 is a prime.

It is not a weakly prime, because it can be changed into another prime (101849123303) 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, 50924561696 + 50924561697.

It is an arithmetic number, because the mean of its divisors is an integer number (50924561697).

Almost surely, 2101849123393 is an apocalyptic number.

It is an amenable number.

101849123393 is a deficient number, since it is larger than the sum of its proper divisors (1).

101849123393 is an equidigital number, since it uses as much as digits as its factorization.

101849123393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 139968, while the sum is 44.

The spelling of 101849123393 in words is "one hundred one billion, eight hundred forty-nine million, one hundred twenty-three thousand, three hundred ninety-three".