Base | Representation |
---|---|
bin | 1110001111010011100100… |
… | …11111000000110101000000 |
3 | 11002212102100022022110122000 |
4 | 13013221302133000311000 |
5 | 13101004422433222240 |
6 | 150332350235544000 |
7 | 6411143210153220 |
oct | 707516237006500 |
9 | 132772308273560 |
10 | 31312232320320 |
11 | 9a82496922586 |
12 | 361862b2bb000 |
13 | 1461966860643 |
14 | 7a373d34a080 |
15 | 394782a60430 |
hex | 1c7a727c0d40 |
31312232320320 has 448 divisors, whose sum is σ = 126263184445440. Its totient is φ = 7155935594496.
The previous prime is 31312232320319. The next prime is 31312232320357. The reversal of 31312232320320 is 2302323221313.
31312232320320 is a `hidden beast` number, since 3 + 1 + 3 + 12 + 2 + 3 + 2 + 320 + 320 = 666.
It is a tau number, because it is divible by the number of its divisors (448).
It is a super-2 number, since 2×313122323203202 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 411407389 + ... + 411483491.
It is an arithmetic number, because the mean of its divisors is an integer number (281837465280).
Almost surely, 231312232320320 is an apocalyptic number.
31312232320320 is a gapful number since it is divisible by the number (30) 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 31312232320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63131592222720).
31312232320320 is an abundant number, since it is smaller than the sum of its proper divisors (94950952125120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31312232320320 is a wasteful number, since it uses less digits than its factorization.
31312232320320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 82939 (or 82923 counting only the distinct ones).
The product of its (nonzero) digits is 7776, while the sum is 27.
Adding to 31312232320320 its reverse (2302323221313), we get a palindrome (33614555541633).
The spelling of 31312232320320 in words is "thirty-one trillion, three hundred twelve billion, two hundred thirty-two million, three hundred twenty thousand, three hundred twenty".
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