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12342133131 = 3711371512801
BaseRepresentation
bin10110111111010011…
…00000000110001011
31011212010220022202220
423133221200012023
5200234041230011
65400410425123
7614564254266
oct133751400613
934763808686
1012342133131
1152638a3329
1224854321a3
131218cc5073
1485123bcdd
154c3803506
hex2dfa6018b

12342133131 has 32 divisors (see below), whose sum is σ = 16927128576. Its totient is φ = 7996800000.

The previous prime is 12342133091. The next prime is 12342133147. The reversal of 12342133131 is 13133124321.

12342133131 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 12342133131 - 27 = 12342133003 is a prime.

It is a super-2 number, since 2×123421331312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12342133631) 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, 4404931 + ... + 4407731.

It is an arithmetic number, because the mean of its divisors is an integer number (528972768).

Almost surely, 212342133131 is an apocalyptic number.

12342133131 is a deficient number, since it is larger than the sum of its proper divisors (4584995445).

12342133131 is a wasteful number, since it uses less digits than its factorization.

12342133131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3163.

The product of its digits is 1296, while the sum is 24.

Adding to 12342133131 its reverse (13133124321), we get a palindrome (25475257452).

The spelling of 12342133131 in words is "twelve billion, three hundred forty-two million, one hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 71 137 151 213 411 453 2801 8403 9727 10721 20687 29181 32163 62061 198871 383737 422951 596613 1151211 1268853 1468777 4406331 27245327 30029521 57944287 81735981 90088563 173832861 4114044377 12342133131