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12220515131 = 112634224167
BaseRepresentation
bin10110110000110011…
…00100001100111011
31011112200001111020112
423120121210030323
5200011422441011
65340344014535
7611556443666
oct133031441473
934480044215
1012220515131
115201186990
12245076144b
1311c9a52856
1483d0206dd
154b7ccd58b
hex2d866433b

12220515131 has 8 divisors (see below), whose sum is σ = 13382164224. Its totient is φ = 11067314920.

The previous prime is 12220515113. The next prime is 12220515143. The reversal of 12220515131 is 13151502221.

12220515131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12220515131 - 230 = 11146773307 is a prime.

It is a super-2 number, since 2×122205151312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12220515097 and 12220515106.

It is not an unprimeable number, because it can be changed into a prime (12220515191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2109191 + ... + 2114976.

It is an arithmetic number, because the mean of its divisors is an integer number (1672770528).

Almost surely, 212220515131 is an apocalyptic number.

12220515131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12220515131 is a deficient number, since it is larger than the sum of its proper divisors (1161649093).

12220515131 is a wasteful number, since it uses less digits than its factorization.

12220515131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4224441.

The product of its (nonzero) digits is 600, while the sum is 23.

The spelling of 12220515131 in words is "twelve billion, two hundred twenty million, five hundred fifteen thousand, one hundred thirty-one".

Divisors: 1 11 263 2893 4224167 46465837 1110955921 12220515131