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10112212131 = 372331366889
BaseRepresentation
bin10010110101011110…
…00001110010100011
3222002201220121020020
421122233001302203
5131202211242011
64351231444523
7505406246010
oct113257016243
928081817206
1010112212131
11431a09770a
121b62686743
13c52018698
146bd012707
153e2b76006
hex25abc1ca3

10112212131 has 32 divisors (see below), whose sum is σ = 16130657280. Its totient is φ = 5509430784.

The previous prime is 10112212127. The next prime is 10112212141. The reversal of 10112212131 is 13121221101.

10112212131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10112212131 - 22 = 10112212127 is a prime.

It is a super-2 number, since 2×101122121312 (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 10112212131.

It is not an unprimeable number, because it can be changed into a prime (10112212111) 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 31 ways as a sum of consecutive naturals, for example, 117735 + ... + 184623.

It is an arithmetic number, because the mean of its divisors is an integer number (504083040).

Almost surely, 210112212131 is an apocalyptic number.

10112212131 is a deficient number, since it is larger than the sum of its proper divisors (6018445149).

10112212131 is a wasteful number, since it uses less digits than its factorization.

10112212131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67235.

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

Adding to 10112212131 its reverse (13121221101), we get a palindrome (23233433232).

The spelling of 10112212131 in words is "ten billion, one hundred twelve million, two hundred twelve thousand, one hundred thirty-one".

Divisors: 1 3 7 21 23 69 161 313 483 939 2191 6573 7199 21597 50393 66889 151179 200667 468223 1404669 1538447 4615341 10769129 20936257 32307387 62808771 146553799 439661397 481533911 1444601733 3370737377 10112212131