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313120244431020 = 2235131992017267391
BaseRepresentation
bin100011100110001111111110…
…0111100001111100010101100
31112001200000002012120002221210
41013030133330330033202230
5312020130230033243040
63025541242100154420
7122645122361162655
oct10714377474174254
91461600065502853
10313120244431020
1190851605a53a44
122b150974398a10
131059415caba220
14574715a43052c
15262ee99680480
hex11cc7fcf0f8ac

313120244431020 has 96 divisors (see below), whose sum is σ = 948922581196800. Its totient is φ = 76688437098240.

The previous prime is 313120244430913. The next prime is 313120244431061. The reversal of 313120244431020 is 20134442021313.

It is a super-2 number, since 2×3131202444310202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1008478476 + ... + 1008788915.

It is an arithmetic number, because the mean of its divisors is an integer number (9884610220800).

Almost surely, 2313120244431020 is an apocalyptic number.

313120244431020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313120244431020 is an abundant number, since it is smaller than the sum of its proper divisors (635802336765780).

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

313120244431020 is a wasteful number, since it uses less digits than its factorization.

313120244431020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017267615 (or 2017267613 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 313120244431020 its reverse (20134442021313), we get a palindrome (333254686452333).

The spelling of 313120244431020 in words is "three hundred thirteen trillion, one hundred twenty billion, two hundred forty-four million, four hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 199 260 390 398 597 780 796 995 1194 1990 2388 2587 2985 3980 5174 5970 7761 10348 11940 12935 15522 25870 31044 38805 51740 77610 155220 2017267391 4034534782 6051802173 8069069564 10086336955 12103604346 20172673910 24207208692 26224476083 30259010865 40345347820 52448952166 60518021730 78673428249 104897904332 121036043460 131122380415 157346856498 262244760830 314693712996 393367141245 401436210809 524489521660 786734282490 802872421618 1204308632427 1573468564980 1605744843236 2007181054045 2408617264854 4014362108090 4817234529708 5218670740517 6021543162135 8028724216180 10437341481034 12043086324270 15656012221551 20874682962068 24086172648540 26093353702585 31312024443102 52186707405170 62624048886204 78280061107755 104373414810340 156560122215510 313120244431020