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100572065557 is a prime number
BaseRepresentation
bin101110110101010001…
…1111110111100010101
3100121121001002021122221
41131222203332330111
53121432422044212
6114111400222341
710160161311055
oct1355243767425
9317531067587
10100572065557
113971a344457
12175a946a9b1
13963a1a7582
144c21015565
15293958a807
hex176a8fef15

100572065557 has 2 divisors, whose sum is σ = 100572065558. Its totient is φ = 100572065556.

The previous prime is 100572065497. The next prime is 100572065597. The reversal of 100572065557 is 755560275001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95927097841 + 4644967716 = 309721^2 + 68154^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100572065557 is a prime.

It is a super-2 number, since 2×1005720655572 (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 (100572065597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50286032778 + 50286032779.

It is an arithmetic number, because the mean of its divisors is an integer number (50286032779).

Almost surely, 2100572065557 is an apocalyptic number.

It is an amenable number.

100572065557 is a deficient number, since it is larger than the sum of its proper divisors (1).

100572065557 is an equidigital number, since it uses as much as digits as its factorization.

100572065557 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 367500, while the sum is 43.

The spelling of 100572065557 in words is "one hundred billion, five hundred seventy-two million, sixty-five thousand, five hundred fifty-seven".