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100610506081 is a prime number
BaseRepresentation
bin101110110110011011…
…0100111110101100001
3100121200201102021011001
41131230312213311201
53122022242143311
6114115252152001
710161136122421
oct1355466476541
9317621367131
10100610506081
113973a00a388
12175ba308601
139645146347
144c26180481
15293cb304c1
hex176cda7d61

100610506081 has 2 divisors, whose sum is σ = 100610506082. Its totient is φ = 100610506080.

The previous prime is 100610506069. The next prime is 100610506097. The reversal of 100610506081 is 180605016001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86176886481 + 14433619600 = 293559^2 + 120140^2 .

It is a cyclic number.

It is not a de Polignac number, because 100610506081 - 229 = 100073635169 is a prime.

It is a super-2 number, since 2×1006105060812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100610506001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50305253040 + 50305253041.

It is an arithmetic number, because the mean of its divisors is an integer number (50305253041).

Almost surely, 2100610506081 is an apocalyptic number.

It is an amenable number.

100610506081 is a deficient number, since it is larger than the sum of its proper divisors (1).

100610506081 is an equidigital number, since it uses as much as digits as its factorization.

100610506081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1440, while the sum is 28.

The spelling of 100610506081 in words is "one hundred billion, six hundred ten million, five hundred six thousand, eighty-one".