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12198131 = 112100811
BaseRepresentation
bin101110100010…
…000011110011
3211221201200122
4232202003303
511110320011
61113240455
7205453031
oct56420363
924851618
1012198131
116981700
12410312b
1326b123a
141897551
15110e3db
hexba20f3

12198131 has 6 divisors (see below), whose sum is σ = 13407996. Its totient is φ = 11089100.

The previous prime is 12198113. The next prime is 12198139. The reversal of 12198131 is 13189121.

12198131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-12198131 is a prime.

It is a super-2 number, since 2×121981312 = 297588799786322, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12198131.

It is not an unprimeable number, because it can be changed into a prime (12198139) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50285 + ... + 50526.

It is an arithmetic number, because the mean of its divisors is an integer number (2234666).

Almost surely, 212198131 is an apocalyptic number.

12198131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12198131 is a deficient number, since it is larger than the sum of its proper divisors (1209865).

12198131 is a wasteful number, since it uses less digits than its factorization.

12198131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100833 (or 100822 counting only the distinct ones).

The product of its digits is 432, while the sum is 26.

The square root of 12198131 is about 3492.5822824953. The cubic root of 12198131 is about 230.1959955050.

The spelling of 12198131 in words is "twelve million, one hundred ninety-eight thousand, one hundred thirty-one".

Divisors: 1 11 121 100811 1108921 12198131