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101288992993 is a prime number
BaseRepresentation
bin101111001010101001…
…0110110000011100001
3100200110000002222012221
41132111102312003201
53124414440233433
6114310450351041
710214015143366
oct1362522660341
9320400088187
10101288992993
1139a57aa5671
121776958b481
1397228926a6
144c8c31846d
15297c4a372d
hex17954b60e1

101288992993 has 2 divisors, whose sum is σ = 101288992994. Its totient is φ = 101288992992.

The previous prime is 101288992991. The next prime is 101288992999. The reversal of 101288992993 is 399299882101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91634554944 + 9654438049 = 302712^2 + 98257^2 .

It is a cyclic number.

It is not a de Polignac number, because 101288992993 - 21 = 101288992991 is a prime.

Together with 101288992991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101288992991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50644496496 + 50644496497.

It is an arithmetic number, because the mean of its divisors is an integer number (50644496497).

Almost surely, 2101288992993 is an apocalyptic number.

It is an amenable number.

101288992993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101288992993 is an equidigital number, since it uses as much as digits as its factorization.

101288992993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5038848, while the sum is 61.

The spelling of 101288992993 in words is "one hundred one billion, two hundred eighty-eight million, nine hundred ninety-two thousand, nine hundred ninety-three".