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11122312012131 = 371379137776853
BaseRepresentation
bin1010000111011001110101…
…1101001110000101100011
31110101021122001021200012210
42201312131131032011203
52424211443333342011
635353304122253203
72225363155140015
oct241663535160543
943337561250183
1011122312012131
1135a8a45199a61
1212b76b3957203
13628aa25cac28
142a64739961b5
151444b46056a6
hexa1d9d74e163

11122312012131 has 16 divisors (see below), whose sum is σ = 15078298901760. Its totient is φ = 7291151007840.

The previous prime is 11122312012129. The next prime is 11122312012153. The reversal of 11122312012131 is 13121021322111.

It is not a de Polignac number, because 11122312012131 - 21 = 11122312012129 is a prime.

It is a super-3 number, since 3×111223120121313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 11122312012098 and 11122312012107.

It is not an unprimeable number, because it can be changed into a prime (11122312012531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68807700 + ... + 68969153.

It is an arithmetic number, because the mean of its divisors is an integer number (942393681360).

Almost surely, 211122312012131 is an apocalyptic number.

11122312012131 is a deficient number, since it is larger than the sum of its proper divisors (3955986889629).

11122312012131 is a wasteful number, since it uses less digits than its factorization.

11122312012131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137777306.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 11122312012131 its reverse (13121021322111), we get a palindrome (24243333334242).

The spelling of 11122312012131 in words is "eleven trillion, one hundred twenty-two billion, three hundred twelve million, twelve thousand, one hundred thirty-one".

Divisors: 1 3 71 213 379 1137 26909 80727 137776853 413330559 9782156563 29346469689 52217427287 156652281861 3707437337377 11122312012131