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313040112234020 = 22517920706212453
BaseRepresentation
bin100011100101101010101010…
…0101100001010111000100100
31112001101100020122200201202122
41013023111110230022320210
5312012322122212442040
63025440350421125112
7122636254542560243
oct10713252454127044
91461340218621678
10313040112234020
1190820625465346
122b139330259798
131058972c47a942
145743317cc295a
15262cd5979c1b5
hex11cb554b0ae24

313040112234020 has 24 divisors (see below), whose sum is σ = 696053896615224. Its totient is φ = 117850395193856.

The previous prime is 313040112234019. The next prime is 313040112234053. The reversal of 313040112234020 is 20432211040313.

It can be written as a sum of positive squares in 4 ways, for example, as 19527013047844 + 293513099186176 = 4418938^2 + 17132224^2 .

It is a super-3 number, since 3×3130401122340203 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 460353105887 + ... + 460353106566.

It is an arithmetic number, because the mean of its divisors is an integer number (29002245692301).

Almost surely, 2313040112234020 is an apocalyptic number.

It is an amenable number.

313040112234020 is an abundant number, since it is smaller than the sum of its proper divisors (383013784381204).

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

313040112234020 is a wasteful number, since it uses less digits than its factorization.

313040112234020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920706212479 (or 920706212477 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 313040112234020 its reverse (20432211040313), we get a palindrome (333472323274333).

The spelling of 313040112234020 in words is "three hundred thirteen trillion, forty billion, one hundred twelve million, two hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 920706212453 1841412424906 3682824849812 4603531062265 9207062124530 15652005611701 18414124249060 31304011223402 62608022446804 78260028058505 156520056117010 313040112234020