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100466642641 is a prime number
BaseRepresentation
bin101110110010001000…
…1110100111011010001
3100121022200201020121111
41131210101310323101
53121223430031031
6114053112453321
710154441241451
oct1354421647321
9317280636544
10100466642641
1139675889682
121757a0aa241
1396213b5651
144c11011d61
1529301b41b1
hex1764474ed1

100466642641 has 2 divisors, whose sum is σ = 100466642642. Its totient is φ = 100466642640.

The previous prime is 100466642611. The next prime is 100466642669. The reversal of 100466642641 is 146246664001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79185960000 + 21280682641 = 281400^2 + 145879^2 .

It is a cyclic number.

It is not a de Polignac number, because 100466642641 - 217 = 100466511569 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100466642594 and 100466642603.

It is not a weakly prime, because it can be changed into another prime (100466642611) 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, 50233321320 + 50233321321.

It is an arithmetic number, because the mean of its divisors is an integer number (50233321321).

Almost surely, 2100466642641 is an apocalyptic number.

It is an amenable number.

100466642641 is a deficient number, since it is larger than the sum of its proper divisors (1).

100466642641 is an equidigital number, since it uses as much as digits as its factorization.

100466642641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 100466642641 in words is "one hundred billion, four hundred sixty-six million, six hundred forty-two thousand, six hundred forty-one".