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315120323320 = 235113123102663
BaseRepresentation
bin1001001010111101010…
…00101000101011111000
31010010101021111000222221
410211132220220223320
520130331300321240
6400433030053424
731523655360535
oct4453650505370
91103337430887
10315120323320
11111707230a80
12510a51aa274
132393c585a9a
1411375327d8c
1582e4d3ea4a
hex495ea28af8

315120323320 has 64 divisors (see below), whose sum is σ = 798428067840. Its totient is φ = 110892777600.

The previous prime is 315120323317. The next prime is 315120323327. The reversal of 315120323320 is 23323021513.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315120323327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11537692 + ... + 11564971.

It is an arithmetic number, because the mean of its divisors is an integer number (12475438560).

Almost surely, 2315120323320 is an apocalyptic number.

It is an amenable number.

315120323320 is an abundant number, since it is smaller than the sum of its proper divisors (483307744520).

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

315120323320 is a wasteful number, since it uses less digits than its factorization.

315120323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23102716 (or 23102712 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

Adding to 315120323320 its reverse (23323021513), we get a palindrome (338443344833).

The spelling of 315120323320 in words is "three hundred fifteen billion, one hundred twenty million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 1240 1364 1705 2728 3410 6820 13640 23102663 46205326 92410652 115513315 184821304 231026630 254129293 462053260 508258586 716182553 924106520 1016517172 1270646465 1432365106 2033034344 2541292930 2864730212 3580912765 5082585860 5729460424 7161825530 7878008083 10165171720 14323651060 15756016166 28647302120 31512032332 39390040415 63024064664 78780080830 157560161660 315120323320