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101311997 is a prime number
BaseRepresentation
bin1100000100111…
…10010111111101
321001122011221012
412002132113331
5201413440442
614015245005
72340065153
oct602362775
9231564835
10101311997
1152208226
1229b19765
1317cb2a37
14d6533d3
158d63582
hex609e5fd

101311997 has 2 divisors, whose sum is σ = 101311998. Its totient is φ = 101311996.

The previous prime is 101311979. The next prime is 101312023. The reversal of 101311997 is 799113101.

Together with previous prime (101311979) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98684356 + 2627641 = 9934^2 + 1621^2 .

It is a cyclic number.

It is not a de Polignac number, because 101311997 - 212 = 101307901 is a prime.

It is a super-2 number, since 2×1013119972 = 20528241472256018, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101311967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50655998 + 50655999.

It is an arithmetic number, because the mean of its divisors is an integer number (50655999).

Almost surely, 2101311997 is an apocalyptic number.

It is an amenable number.

101311997 is a deficient number, since it is larger than the sum of its proper divisors (1).

101311997 is an equidigital number, since it uses as much as digits as its factorization.

101311997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1701, while the sum is 32.

The square root of 101311997 is about 10065.3860830074. The cubic root of 101311997 is about 466.1799868997.

The spelling of 101311997 in words is "one hundred one million, three hundred eleven thousand, nine hundred ninety-seven".