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313441011120 = 24354330372191
BaseRepresentation
bin1001000111110101000…
…10100100010110110000
31002222001020120010201210
410203322202210112300
520113411344323440
6355554240400120
731434234430566
oct4437242442660
91088036503653
10313441011120
11110a25308956
12508b6916040
13237326a0a23
14112562a9a36
1582476c5a80
hex48fa8a45b0

313441011120 has 80 divisors (see below), whose sum is σ = 994264077312. Its totient is φ = 81640446720.

The previous prime is 313441011071. The next prime is 313441011133. The reversal of 313441011120 is 21110144313.

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

It is an unprimeable number.

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, 15175776 + ... + 15196415.

Almost surely, 2313441011120 is an apocalyptic number.

313441011120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313441011120 is an abundant number, since it is smaller than the sum of its proper divisors (680823066192).

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

313441011120 is a wasteful number, since it uses less digits than its factorization.

313441011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30372250 (or 30372244 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 313441011120 its reverse (21110144313), we get a palindrome (334551155433).

The spelling of 313441011120 in words is "three hundred thirteen billion, four hundred forty-one million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3440 5160 10320 30372191 60744382 91116573 121488764 151860955 182233146 242977528 303721910 364466292 455582865 485955056 607443820 728932584 911165730 1214887640 1306004213 1457865168 1822331460 2429775280 2612008426 3644662920 3918012639 5224016852 6530021065 7289325840 7836025278 10448033704 13060042130 15672050556 19590063195 20896067408 26120084260 31344101112 39180126390 52240168520 62688202224 78360252780 104480337040 156720505560 313441011120