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110311313113312 = 2541977529115127
BaseRepresentation
bin11001000101001111011010…
…101000100000000011100000
3112110120122210002002111210221
4121011033122220200003200
5103424320032124111222
61030340152340132424
732143505113361653
oct3105173250400340
9473518702074727
10110311313113312
113216a846495a13
12104570a3697114
134972409b6714c
141d3514b77b89a
15cb46b51b00c7
hex6453daa200e0

110311313113312 has 96 divisors (see below), whose sum is σ = 224797694022720. Its totient is φ = 53248114360320.

The previous prime is 110311313113303. The next prime is 110311313113357. The reversal of 110311313113312 is 213311313113011.

It is a congruent number.

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, 958113093 + ... + 958228219.

It is an arithmetic number, because the mean of its divisors is an integer number (2341642646070).

Almost surely, 2110311313113312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110311313113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112398847011360).

110311313113312 is an abundant number, since it is smaller than the sum of its proper divisors (114486380909408).

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

110311313113312 is a wasteful number, since it uses less digits than its factorization.

110311313113312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122804 (or 122796 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 25.

Adding to 110311313113312 its reverse (213311313113011), we get a palindrome (323622626226323).

The spelling of 110311313113312 in words is "one hundred ten trillion, three hundred eleven billion, three hundred thirteen million, one hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 41 82 97 164 194 328 388 656 776 1312 1552 3104 3977 7529 7954 15058 15908 30116 31816 60232 63632 115127 120464 127264 230254 240928 308689 460508 617378 730313 921016 1234756 1460626 1842032 2469512 2921252 3684064 4720207 4939024 5842504 9440414 9878048 11167319 11685008 18880828 22334638 23370016 29942833 37761656 44669276 59885666 75523312 89338552 119771332 151046624 178677104 239542664 357354208 457860079 479085328 866791183 915720158 958170656 1733582366 1831440316 3467164732 3662880632 6934329464 7325761264 13868658928 14651522528 27737317856 35538438503 71076877006 84078744751 142153754012 168157489502 284307508024 336314979004 568615016048 672629958008 1137230032096 1345259916016 2690519832032 3447228534791 6894457069582 13788914139164 27577828278328 55155656556656 110311313113312