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12122101131 = 37282463273
BaseRepresentation
bin10110100101000100…
…01001010110001011
31011021210212112121120
423102202021112023
5144311224214011
65322510410323
7606253105500
oct132242112613
934253775546
1012122101131
115160678aa8
1224238009a3
1311b2545c0a
1482dd234a7
154ae33da06
hex2d288958b

12122101131 has 12 divisors (see below), whose sum is σ = 18801626472. Its totient is φ = 6926914848.

The previous prime is 12122101063. The next prime is 12122101139. The reversal of 12122101131 is 13110122121.

It is not a de Polignac number, because 12122101131 - 226 = 12054992267 is a prime.

It is a super-2 number, since 2×121221011312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12122101131.

It is not an unprimeable number, because it can be changed into a prime (12122101139) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41231490 + ... + 41231783.

It is an arithmetic number, because the mean of its divisors is an integer number (1566802206).

Almost surely, 212122101131 is an apocalyptic number.

12122101131 is a deficient number, since it is larger than the sum of its proper divisors (6679525341).

12122101131 is an equidigital number, since it uses as much as digits as its factorization.

12122101131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82463290 (or 82463283 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12122101131 its reverse (13110122121), we get a palindrome (25232223252).

The spelling of 12122101131 in words is "twelve billion, one hundred twenty-two million, one hundred one thousand, one hundred thirty-one".

Divisors: 1 3 7 21 49 147 82463273 247389819 577242911 1731728733 4040700377 12122101131