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100642144777 is a prime number
BaseRepresentation
bin101110110111010111…
…1010100001000001001
3100121202220221200021121
41131232233110020021
53122103342113102
6114122342235241
710162002054466
oct1355657241011
9317686850247
10100642144777
1139755959a69
1217608a25b21
13964b873175
144c2a45866d
1529407ceb37
hex176ebd4209

100642144777 has 2 divisors, whose sum is σ = 100642144778. Its totient is φ = 100642144776.

The previous prime is 100642144751. The next prime is 100642144807. The reversal of 100642144777 is 777441246001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52688152521 + 47953992256 = 229539^2 + 218984^2 .

It is a cyclic number.

It is not a de Polignac number, because 100642144777 - 211 = 100642142729 is a prime.

It is not a weakly prime, because it can be changed into another prime (100642154777) 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, 50321072388 + 50321072389.

It is an arithmetic number, because the mean of its divisors is an integer number (50321072389).

Almost surely, 2100642144777 is an apocalyptic number.

It is an amenable number.

100642144777 is a deficient number, since it is larger than the sum of its proper divisors (1).

100642144777 is an equidigital number, since it uses as much as digits as its factorization.

100642144777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 263424, while the sum is 43.

The spelling of 100642144777 in words is "one hundred billion, six hundred forty-two million, one hundred forty-four thousand, seven hundred seventy-seven".