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12313312023200 = 255246333243283
BaseRepresentation
bin1011001100101110101010…
…0101101101001010100000
31121121010210212220222100212
42303023222211231022200
53103220130334220300
642104354002033252
72410415231166206
oct263135245551240
947533725828325
1012313312023200
113a180566a2171
12146a49b348828
136b41a943a6a6
14307d78aad076
1516546e117935
hexb32ea96d2a0

12313312023200 has 72 divisors (see below), whose sum is σ = 30124798014528. Its totient is φ = 4914686810880.

The previous prime is 12313312023161. The next prime is 12313312023203. The reversal of 12313312023200 is 232021331321.

It is not an unprimeable number, because it can be changed into a prime (12313312023203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16251242 + ... + 16992041.

It is an arithmetic number, because the mean of its divisors is an integer number (418399972424).

Almost surely, 212313312023200 is an apocalyptic number.

12313312023200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12313312023200 is an abundant number, since it is smaller than the sum of its proper divisors (17811485991328).

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

12313312023200 is a wasteful number, since it uses less digits than its factorization.

12313312023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33243766 (or 33243753 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 12313312023200 its reverse (232021331321), we get a palindrome (12545333354521).

The spelling of 12313312023200 in words is "twelve trillion, three hundred thirteen billion, three hundred twelve million, twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 463 800 926 1852 2315 3704 4630 7408 9260 11575 14816 18520 23150 37040 46300 74080 92600 185200 370400 33243283 66486566 132973132 166216415 265946264 332432830 531892528 664865660 831082075 1063785056 1329731320 1662164150 2659462640 3324328300 5318925280 6648656600 13297313200 15391640029 26594626400 30783280058 61566560116 76958200145 123133120232 153916400290 246266240464 307832800580 384791000725 492532480928 615665601160 769582001450 1231331202320 1539164002900 2462662404640 3078328005800 6156656011600 12313312023200