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111110122112 = 2711217421997
BaseRepresentation
bin110011101111010101…
…1011110101010000000
3101121210110022000121212
41213132223132222000
53310023142401422
6123013203305252
711012261312033
oct1473653365200
9347713260555
10111110122112
1143137849300
121964a67b228
13a6294b2bb2
1455407d901a
152d547cc9e2
hex19deadea80

111110122112 has 96 divisors (see below), whose sum is σ = 257617119060. Its totient is φ = 47533629440.

The previous prime is 111110122103. The next prime is 111110122153. The reversal of 111110122112 is 211221011111.

It can be written as a sum of positive squares in 2 ways, for example, as 109889598016 + 1220524096 = 331496^2 + 34936^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52298 + ... + 474294.

Almost surely, 2111110122112 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 111110122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128808559530).

111110122112 is an abundant number, since it is smaller than the sum of its proper divisors (146506996948).

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

111110122112 is a wasteful number, since it uses less digits than its factorization.

111110122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422050 (or 422027 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 111110122112 its reverse (211221011111), we get a palindrome (322331133223).

The spelling of 111110122112 in words is "one hundred eleven billion, one hundred ten million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 121 128 136 176 187 242 272 352 374 484 544 704 748 968 1088 1408 1496 1936 2057 2176 2992 3872 4114 5984 7744 8228 11968 15488 16456 23936 32912 65824 131648 263296 421997 843994 1687988 3375976 4641967 6751952 7173949 9283934 13503904 14347898 18567868 27007808 28695796 37135736 51061637 54015616 57391592 74271472 78913439 102123274 114783184 148542944 157826878 204246548 229566368 297085888 315653756 408493096 459132736 594171776 631307512 816986192 868047829 918265472 1262615024 1633972384 1736095658 2525230048 3267944768 3472191316 5050460096 6535889536 6944382632 10100920192 13888765264 27777530528 55555061056 111110122112