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231252252132 = 2231113721127681
BaseRepresentation
bin1101011101011110110…
…1010101010111100100
3211002220100220120212010
43113113231111113210
512242101034032012
6254122534154220
722464434465466
oct3272755252744
9732810816763
10231252252132
118a08995a850
1238999ab2970
1318a64c71c65
14b29a97c136
156036eaac3c
hex35d7b555e4

231252252132 has 48 divisors (see below), whose sum is σ = 588689607744. Its totient is φ = 70070784000.

The previous prime is 231252252073. The next prime is 231252252137.

It is a happy number.

231252252132 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2312522521322 (a number of 24 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 231252252132.

It is not an unprimeable number, because it can be changed into a prime (231252252137) 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, 1747332 + ... + 1875012.

It is an arithmetic number, because the mean of its divisors is an integer number (12264366828).

Almost surely, 2231252252132 is an apocalyptic number.

231252252132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

231252252132 is an abundant number, since it is smaller than the sum of its proper divisors (357437355612).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231252252132 is a wasteful number, since it uses less digits than its factorization.

231252252132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141420 (or 141418 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

It can be divided in two parts, 231252 and 252132, that added together give a palindrome (483384).

The spelling of 231252252132 in words is "two hundred thirty-one billion, two hundred fifty-two million, two hundred fifty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 13721 27442 41163 54884 82326 127681 150931 164652 255362 301862 383043 452793 510724 603724 766086 905586 1404491 1532172 1811172 2808982 4213473 5617964 8426946 16853892 1751911001 3503822002 5255733003 7007644004 10511466006 19271021011 21022932012 38542042022 57813063033 77084084044 115626126066 231252252132