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101617620053 is a prime number
BaseRepresentation
bin101111010100011100…
…0011101010001010101
3100201021220110221210112
41132220320131101111
53131103102320203
6114403230132405
710225115342645
oct1365070352125
9321256427715
10101617620053
113a106551a84
121783b651105
1397759a4581
144cbdc20525
15299b2696d8
hex17a8e1d455

101617620053 has 2 divisors, whose sum is σ = 101617620054. Its totient is φ = 101617620052.

The previous prime is 101617620043. The next prime is 101617620059. The reversal of 101617620053 is 350026716101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98440945009 + 3176675044 = 313753^2 + 56362^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101617620053 is a prime.

It is a super-2 number, since 2×1016176200532 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101617620059) 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, 50808810026 + 50808810027.

It is an arithmetic number, because the mean of its divisors is an integer number (50808810027).

Almost surely, 2101617620053 is an apocalyptic number.

It is an amenable number.

101617620053 is a deficient number, since it is larger than the sum of its proper divisors (1).

101617620053 is an equidigital number, since it uses as much as digits as its factorization.

101617620053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 32.

The spelling of 101617620053 in words is "one hundred one billion, six hundred seventeen million, six hundred twenty thousand, fifty-three".