Base | Representation |
---|---|
bin | 1110000110111001010000… |
… | …01000111100001100000100 |
3 | 11001211210100200210202012100 |
4 | 13003130220020330030010 |
5 | 13031241024341230312 |
6 | 145551512130152100 |
7 | 6351232236601251 |
oct | 703345010741404 |
9 | 131753320722170 |
10 | 31023222211332 |
11 | 998096918a03a |
12 | 3590612422630 |
13 | 144062882a030 |
14 | 793763a06428 |
15 | 38beba0e55dc |
hex | 1c372823c304 |
31023222211332 has 144 divisors (see below), whose sum is σ = 89482309141680. Its totient is φ = 8977827815424.
The previous prime is 31023222211313. The next prime is 31023222211381. The reversal of 31023222211332 is 23311222232013.
31023222211332 is a `hidden beast` number, since 3 + 1 + 0 + 2 + 322 + 2 + 2 + 1 + 1 + 332 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 856039450176 + 30167182761156 = 925224^2 + 5492466^2 .
It is a junction number, because it is equal to n+sod(n) for n = 31023222211296 and 31023222211305.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10040394 + ... + 12761502.
It is an arithmetic number, because the mean of its divisors is an integer number (621404924595).
Almost surely, 231023222211332 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 31023222211332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44741154570840).
31023222211332 is an abundant number, since it is smaller than the sum of its proper divisors (58459086930348).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31023222211332 is a wasteful number, since it uses less digits than its factorization.
31023222211332 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2722582 (or 2722577 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 27.
Adding to 31023222211332 its reverse (23311222232013), we get a palindrome (54334444443345).
The spelling of 31023222211332 in words is "thirty-one trillion, twenty-three billion, two hundred twenty-two million, two hundred eleven thousand, three hundred thirty-two".
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