Base | Representation |
---|---|
bin | 100001101001010101110… |
… | …100110011100001010000 |
3 | 22012001000110212010210111 |
4 | 201221111310303201100 |
5 | 300340221332423440 |
6 | 4530102351411104 |
7 | 326021536242022 |
oct | 41512564634120 |
9 | 8161013763714 |
10 | 2312132311120 |
11 | 81162a459a95 |
12 | 314134523a94 |
13 | 13a057a721a8 |
14 | 7dc9d012012 |
15 | 402258454ea |
hex | 21a55d33850 |
2312132311120 has 80 divisors (see below), whose sum is σ = 5452237030032. Its totient is φ = 911765196800.
The previous prime is 2312132311117. The next prime is 2312132311183. The reversal of 2312132311120 is 211132312132.
It can be written as a sum of positive squares in 8 ways, for example, as 111882222144 + 2200250088976 = 334488^2 + 1483324^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-2 number, since 2×23121323111202 (a number of 26 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 2312132311091 and 2312132311100.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1268574 + ... + 2496706.
Almost surely, 22312132311120 is an apocalyptic number.
2312132311120 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 2312132311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726118515016).
2312132311120 is an abundant number, since it is smaller than the sum of its proper divisors (3140104718912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2312132311120 is a wasteful number, since it uses less digits than its factorization.
2312132311120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1228480 (or 1228474 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 22.
Adding to 2312132311120 its reverse (211132312132), we get a palindrome (2523264623252).
The spelling of 2312132311120 in words is "two trillion, three hundred twelve billion, one hundred thirty-two million, three hundred eleven thousand, one hundred twenty".
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