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2312431342120 = 235534481243421
BaseRepresentation
bin100001101001100111101…
…001100001001000101000
322012001210022112111012201
4201221213221201020220
5300341324410421440
64530152152545544
7326032130044354
oct41514751411050
98161708474181
102312431342120
11811773231449
123141b86b22b4
1313a0a49c0c03
147dccaa12464
1540241c1219a
hex21a67a61228

2312431342120 has 64 divisors (see below), whose sum is σ = 5302344583440. Its totient is φ = 907313971200.

The previous prime is 2312431342093. The next prime is 2312431342127. The reversal of 2312431342120 is 212431342132.

It can be written as a sum of positive squares in 8 ways, for example, as 2008404821124 + 304026520996 = 1417182^2 + 551386^2 .

It is not an unprimeable number, because it can be changed into a prime (2312431342127) 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 15 ways as a sum of consecutive naturals, for example, 9378010 + ... + 9621430.

Almost surely, 22312431342120 is an apocalyptic number.

2312431342120 is a gapful number since it is divisible by the number (20) 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 2312431342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651172291720).

2312431342120 is an abundant number, since it is smaller than the sum of its proper divisors (2989913241320).

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

2312431342120 is a wasteful number, since it uses less digits than its factorization.

2312431342120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247966 (or 247962 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 2312431342120 its reverse (212431342132), we get a palindrome (2524862684252).

The spelling of 2312431342120 in words is "two trillion, three hundred twelve billion, four hundred thirty-one million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 4481 8962 17924 22405 35848 44810 89620 179240 237493 243421 474986 486842 949972 973684 1187465 1217105 1899944 1947368 2374930 2434210 4749860 4868420 9499720 9736840 12901313 25802626 51605252 64506565 103210504 129013130 258026260 516052520 1090769501 2181539002 4363078004 5453847505 8726156008 10907695010 21815390020 43630780040 57810783553 115621567106 231243134212 289053917765 462486268424 578107835530 1156215671060 2312431342120