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2312310132132 = 22371121337795987
BaseRepresentation
bin100001101001100000011…
…011001000110110100100
322012001110212110101100220
4201221200123020312210
5300341102343212012
64530132143004340
7326026125553440
oct41514033106644
98161425411326
102312310132132
11811710873600
12314183b996b0
1313a085862320
147dcb889d820
154023626d08c
hex21a606c8da4

2312310132132 has 576 divisors, whose sum is σ = 7592469749760. Its totient is φ = 532499235840.

The previous prime is 2312310132131. The next prime is 2312310132179.

2312310132132 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2312310132131) 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 191 ways as a sum of consecutive naturals, for example, 386218843 + ... + 386224829.

Almost surely, 22312310132132 is an apocalyptic number.

2312310132132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2312310132132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3796234874880).

2312310132132 is an abundant number, since it is smaller than the sum of its proper divisors (5280159617628).

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

2312310132132 is a wasteful number, since it uses less digits than its factorization.

2312310132132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6152 (or 6139 counting only the distinct ones).

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

It can be divided in two parts, 2312310 and 132132, that added together give a palindrome (2444442).

The spelling of 2312310132132 in words is "two trillion, three hundred twelve billion, three hundred ten million, one hundred thirty-two thousand, one hundred thirty-two".