Search a number
-
+
10763131005 = 3251121743699
BaseRepresentation
bin10100000011000100…
…00101100001111101
31000210002201201001200
422001202011201331
5134020330143010
64540003130113
7530502050454
oct120142054175
930702651050
1010763131005
1146235636a0
122104673939
131026b31993
14741651b9b
1542eda0cc0
hex28188587d

10763131005 has 24 divisors (see below), whose sum is σ = 20352103200. Its totient is φ = 5218487520.

The previous prime is 10763130971. The next prime is 10763131081. The reversal of 10763131005 is 50013136701.

10763131005 is a `hidden beast` number, since 10 + 7 + 631 + 3 + 10 + 0 + 5 = 666.

It is not a de Polignac number, because 10763131005 - 26 = 10763130941 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10763131005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10871355 + ... + 10872344.

It is an arithmetic number, because the mean of its divisors is an integer number (848004300).

Almost surely, 210763131005 is an apocalyptic number.

10763131005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10763131005 is a deficient number, since it is larger than the sum of its proper divisors (9588972195).

10763131005 is a wasteful number, since it uses less digits than its factorization.

10763131005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21743721 (or 21743718 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

Adding to 10763131005 its reverse (50013136701), we get a palindrome (60776267706).

The spelling of 10763131005 in words is "ten billion, seven hundred sixty-three million, one hundred thirty-one thousand, five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 21743699 65231097 108718495 195693291 239180689 326155485 717542067 978466455 1195903445 2152626201 3587710335 10763131005