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10189534961 is a prime number
BaseRepresentation
bin10010111110101011…
…11111011011110001
3222022010102000012202
421133111333123301
5131332010104321
64403033032545
7510335422004
oct113725773361
928263360182
1010189534961
1143597aa481
121b84555755
13c6504c338
146c93bd53b
153e984b70b
hex25f57f6f1

10189534961 has 2 divisors, whose sum is σ = 10189534962. Its totient is φ = 10189534960.

The previous prime is 10189534939. The next prime is 10189535039. The reversal of 10189534961 is 16943598101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5190337936 + 4999197025 = 72044^2 + 70705^2 .

It is an emirp because it is prime and its reverse (16943598101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10189534961 - 26 = 10189534897 is a prime.

It is not a weakly prime, because it can be changed into another prime (10189534921) 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, 5094767480 + 5094767481.

It is an arithmetic number, because the mean of its divisors is an integer number (5094767481).

Almost surely, 210189534961 is an apocalyptic number.

It is an amenable number.

10189534961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10189534961 is an equidigital number, since it uses as much as digits as its factorization.

10189534961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 233280, while the sum is 47.

The spelling of 10189534961 in words is "ten billion, one hundred eighty-nine million, five hundred thirty-four thousand, nine hundred sixty-one".