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110313311120 = 24529431105787
BaseRepresentation
bin110011010111100101…
…1111000101110010000
3101112201220221211102122
41212233023320232100
53301410201423440
6122402141033412
710653444446645
oct1465713705620
9345656854378
10110313311120
1142868a96421
1219467855868
13a5303a86bc
1454a6a5ddcc
152d098857b5
hex19af2f8b90

110313311120 has 80 divisors (see below), whose sum is σ = 271493069760. Its totient is φ = 41612938752.

The previous prime is 110313311089. The next prime is 110313311167. The reversal of 110313311120 is 21113313011.

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

It is a super-2 number, since 2×1103133111202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 453134 + ... + 652653.

It is an arithmetic number, because the mean of its divisors is an integer number (3393663372).

Almost surely, 2110313311120 is an apocalyptic number.

110313311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110313311120 is an abundant number, since it is smaller than the sum of its proper divisors (161179758640).

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

110313311120 is a wasteful number, since it uses less digits than its factorization.

110313311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105872 (or 1105866 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 110313311120 its reverse (21113313011), we get a palindrome (131426624131).

The spelling of 110313311120 in words is "one hundred ten billion, three hundred thirteen million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 43 58 80 86 116 145 172 215 232 290 344 430 464 580 688 860 1160 1247 1720 2320 2494 3440 4988 6235 9976 12470 19952 24940 49880 99760 1105787 2211574 4423148 5528935 8846296 11057870 17692592 22115740 32067823 44231480 47548841 64135646 88462960 95097682 128271292 160339115 190195364 237744205 256542584 320678230 380390728 475488410 513085168 641356460 760781456 950976820 1282712920 1378916389 1901953640 2565425840 2757832778 3803907280 5515665556 6894581945 11031331112 13789163890 22062662224 27578327780 55156655560 110313311120