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11825945131 = 7211133154443
BaseRepresentation
bin10110000001110000…
…11001101000101011
31010112011121020221211
423000320121220223
5143204420221011
65233251013551
7566025606100
oct130070315053
933464536854
1011825945131
11501948a680
12236059a2b7
131166092990
14802870aa7
1549333db21
hex2c0e19a2b

11825945131 has 48 divisors (see below), whose sum is σ = 16683383808. Its totient is φ = 8231630400.

The previous prime is 11825945107. The next prime is 11825945137. The reversal of 11825945131 is 13154952811.

It is not a de Polignac number, because 11825945131 - 25 = 11825945099 is a prime.

It is a super-2 number, since 2×118259451312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11825945137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189996 + ... + 244438.

It is an arithmetic number, because the mean of its divisors is an integer number (347570496).

Almost surely, 211825945131 is an apocalyptic number.

11825945131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11825945131 is a deficient number, since it is larger than the sum of its proper divisors (4857438677).

11825945131 is a wasteful number, since it uses less digits than its factorization.

11825945131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54512 (or 54505 counting only the distinct ones).

The product of its digits is 43200, while the sum is 40.

The spelling of 11825945131 in words is "eleven billion, eight hundred twenty-five million, nine hundred forty-five thousand, one hundred thirty-one".

Divisors: 1 7 11 13 31 49 77 91 143 217 341 403 539 637 1001 1519 2387 2821 4433 7007 16709 19747 31031 54443 217217 381101 598873 707759 1687733 2667707 4192111 4954313 7785349 11814131 18565063 21940529 29344777 34680191 54497443 82698917 129955441 153583703 241345819 381482101 909688087 1075085921 1689420733 11825945131