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313213133120 = 2651705357397
BaseRepresentation
bin1001000111011001111…
…01010010000101000000
31002221110100202201212212
410203230331102011000
520112430030224440
6355515500241252
731425466463336
oct4435475220500
91087410681785
10313213133120
11110918714828
1250852540228
13236c7405584
1411233d0bb56
1582326b1465
hex48ecf52140

313213133120 has 56 divisors (see below), whose sum is σ = 745895504904. Its totient is φ = 125275723776.

The previous prime is 313213133087. The next prime is 313213133131. The reversal of 313213133120 is 21331312313.

It can be written as a sum of positive squares in 4 ways, for example, as 383219776 + 312829913344 = 19576^2 + 559312^2 .

It is a congruent number.

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, 5428262 + ... + 5485658.

Almost surely, 2313213133120 is an apocalyptic number.

It is an amenable number.

313213133120 is an abundant number, since it is smaller than the sum of its proper divisors (432682371784).

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

313213133120 is a wasteful number, since it uses less digits than its factorization.

313213133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74467 (or 74457 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 313213133120 its reverse (21331312313), we get a palindrome (334544445433).

The spelling of 313213133120 in words is "three hundred thirteen billion, two hundred thirteen million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 17053 34106 57397 68212 85265 114794 136424 170530 229588 272848 286985 341060 459176 545696 573970 682120 918352 1091392 1147940 1364240 1836704 2295880 2728480 3673408 4591760 5456960 9183520 18367040 978791041 1957582082 3915164164 4893955205 7830328328 9787910410 15660656656 19575820820 31321313312 39151641640 62642626624 78303283280 156606566560 313213133120