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111322313124 = 2231118112793643
BaseRepresentation
bin110011110101101010…
…0111011000110100100
3101122100020120102222020
41213223110323012210
53310442003004444
6123050223303140
711020446022521
oct1475324730644
9348306512866
10111322313124
11432365a8580
12196a974aab0
13a6614480c9
145560a72148
152d68244119
hex19eb53b1a4

111322313124 has 96 divisors (see below), whose sum is σ = 285232496640. Its totient is φ = 33512227200.

The previous prime is 111322313117. The next prime is 111322313177. The reversal of 111322313124 is 421313223111.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 111322313094 and 111322313103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30556047 + ... + 30559689.

It is an arithmetic number, because the mean of its divisors is an integer number (2971171840).

Almost surely, 2111322313124 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 111322313124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142616248320).

111322313124 is an abundant number, since it is smaller than the sum of its proper divisors (173910183516).

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

111322313124 is a wasteful number, since it uses less digits than its factorization.

111322313124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5121 (or 5119 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 111322313124 its reverse (421313223111), we get a palindrome (532635536235).

The spelling of 111322313124 in words is "one hundred eleven billion, three hundred twenty-two million, three hundred thirteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 181 362 543 724 1086 1279 1991 2172 2558 3643 3837 3982 5116 5973 7286 7674 7964 10929 11946 14069 14572 15348 21858 23892 28138 40073 42207 43716 56276 80146 84414 120219 160292 168828 231499 240438 462998 480876 659383 694497 925996 1318766 1388994 1978149 2546489 2637532 2777988 3956298 4659397 5092978 7253213 7639467 7912596 9318794 10185956 13978191 14506426 15278934 18637588 21759639 27956382 29012852 30557868 43519278 51253367 55912764 87038556 102506734 153760101 205013468 307520202 615040404 843350857 1686701714 2530052571 3373403428 5060105142 9276859427 10120210284 18553718854 27830578281 37107437708 55661156562 111322313124