Search a number
-
+
10500110561 is a prime number
BaseRepresentation
bin10011100011101101…
…01111100011100001
31000002202210212211202
421301312233203201
5133001012014221
64453525450545
7521126316143
oct116166574341
930082725752
1010500110561
1144a9047526
122050570a55
13cb44b0995
14718746c93
15416c48d0b
hex271daf8e1

10500110561 has 2 divisors, whose sum is σ = 10500110562. Its totient is φ = 10500110560.

The previous prime is 10500110549. The next prime is 10500110573. The reversal of 10500110561 is 16501100501.

It is a balanced prime because it is at equal distance from previous prime (10500110549) and next prime (10500110573).

It can be written as a sum of positive squares in only one way, i.e., 10497027025 + 3083536 = 102455^2 + 1756^2 .

It is a cyclic number.

It is not a de Polignac number, because 10500110561 - 26 = 10500110497 is a prime.

It is a super-2 number, since 2×105001105612 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10500110261) 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, 5250055280 + 5250055281.

It is an arithmetic number, because the mean of its divisors is an integer number (5250055281).

Almost surely, 210500110561 is an apocalyptic number.

It is an amenable number.

10500110561 is a deficient number, since it is larger than the sum of its proper divisors (1).

10500110561 is an equidigital number, since it uses as much as digits as its factorization.

10500110561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 150, while the sum is 20.

The spelling of 10500110561 in words is "ten billion, five hundred million, one hundred ten thousand, five hundred sixty-one".