Base | Representation |
---|---|
bin | 100001101001100111101… |
… | …001100001001000101000 |
3 | 22012001210022112111012201 |
4 | 201221213221201020220 |
5 | 300341324410421440 |
6 | 4530152152545544 |
7 | 326032130044354 |
oct | 41514751411050 |
9 | 8161708474181 |
10 | 2312431342120 |
11 | 811773231449 |
12 | 3141b86b22b4 |
13 | 13a0a49c0c03 |
14 | 7dccaa12464 |
15 | 40241c1219a |
hex | 21a67a61228 |
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".
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