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10995134931 = 3211176533057
BaseRepresentation
bin10100011110101110…
…00111000111010011
31001101021021201121200
422033113013013103
5140004223304211
65015011522243
7536320050654
oct121727070723
931337251550
1010995134931
114732515680
12216a2b9383
131062c13101
147643a552b
1544542cb56
hex28f5c71d3

10995134931 has 24 divisors (see below), whose sum is σ = 18344826864. Its totient is φ = 6271733760.

The previous prime is 10995134929. The next prime is 10995134939. The reversal of 10995134931 is 13943159901.

10995134931 is a `hidden beast` number, since 1 + 0 + 99 + 513 + 49 + 3 + 1 = 666.

It is not a de Polignac number, because 10995134931 - 21 = 10995134929 is a prime.

It is a super-2 number, since 2×109951349312 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10995134939) 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 in 23 ways as a sum of consecutive naturals, for example, 3264846 + ... + 3268211.

It is an arithmetic number, because the mean of its divisors is an integer number (764367786).

Almost surely, 210995134931 is an apocalyptic number.

10995134931 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10995134931 is a deficient number, since it is larger than the sum of its proper divisors (7349691933).

10995134931 is a wasteful number, since it uses less digits than its factorization.

10995134931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6533091 (or 6533088 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The spelling of 10995134931 in words is "ten billion, nine hundred ninety-five million, one hundred thirty-four thousand, nine hundred thirty-one".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 6533057 19599171 58797513 71863627 111061969 215590881 333185907 646772643 999557721 1221681659 3665044977 10995134931