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313231002320 = 24521122438273
BaseRepresentation
bin1001000111011100000…
…01011100101011010000
31002221111121101120211002
410203232001130223100
520112444114033240
6355521335241132
731426104406205
oct4435601345320
91087447346732
10313231002320
1111092780a165
12508585191a8
13236cb020b72
141123643dcac
158234040d15
hex48ee05cad0

313231002320 has 80 divisors (see below), whose sum is σ = 732128265792. Its totient is φ = 124627937280.

The previous prime is 313231002319. The next prime is 313231002323. The reversal of 313231002320 is 23200132313.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3132310023202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 313231002292 and 313231002301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313231002323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37857704 + ... + 37865976.

Almost surely, 2313231002320 is an apocalyptic number.

It is an amenable number.

313231002320 is an abundant number, since it is smaller than the sum of its proper divisors (418897263472).

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

313231002320 is a wasteful number, since it uses less digits than its factorization.

313231002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10740 (or 10734 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 313231002320 its reverse (23200132313), we get a palindrome (336431134633).

The spelling of 313231002320 in words is "three hundred thirteen billion, two hundred thirty-one million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 211 422 844 1055 1688 2110 2243 3376 4220 4486 8273 8440 8972 11215 16546 16880 17944 22430 33092 35888 41365 44860 66184 82730 89720 132368 165460 179440 330920 473273 661840 946546 1745603 1893092 2366365 3491206 3786184 4732730 6982412 7572368 8728015 9465460 13964824 17456030 18556339 18930920 27929648 34912060 37112678 37861840 69824120 74225356 92781695 139648240 148450712 185563390 296901424 371126780 742253560 1484507120 3915387529 7830775058 15661550116 19576937645 31323100232 39153875290 62646200464 78307750580 156615501160 313231002320