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112001020111112 = 231141471336749411
BaseRepresentation
bin11001011101110101000101…
…000001001010100100001000
3112200120012012122220122110012
4121131311011001022210020
5104140011042122023422
61034112320333211052
732406543455026526
oct3135650501124410
9480505178818405
10112001020111112
1132761402aa0610
121068a66b030a88
134a6585cc94872
141d92c42095316
15ce360c0454e2
hex65dd4504a908

112001020111112 has 128 divisors (see below), whose sum is σ = 239696615854080. Its totient is φ = 48606474816000.

The previous prime is 112001020111109. The next prime is 112001020111121. The reversal of 112001020111112 is 211111020100211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2266697687 + ... + 2266747097.

It is an arithmetic number, because the mean of its divisors is an integer number (1872629811360).

Almost surely, 2112001020111112 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 112001020111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119848307927040).

112001020111112 is an abundant number, since it is smaller than the sum of its proper divisors (127695595742968).

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

112001020111112 is a wasteful number, since it uses less digits than its factorization.

112001020111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62883 (or 62879 counting only the distinct ones).

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

Adding to 112001020111112 its reverse (211111020100211), we get a palindrome (323112040211323).

The spelling of 112001020111112 in words is "one hundred twelve trillion, one billion, twenty million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 41 44 47 82 88 94 164 188 328 376 451 517 902 1034 1804 1927 2068 3608 3854 4136 7708 13367 15416 21197 26734 42394 49411 53468 84788 98822 106936 147037 169576 197644 294074 395288 543521 548047 588148 628249 1087042 1096094 1176296 1256498 2025851 2174084 2192188 2322317 2512996 4051702 4348168 4384376 4644634 5025992 6028517 6910739 8103404 9289268 12057034 13821478 16206808 18578536 22284361 24114068 25545487 25758209 27642956 44568722 48228136 51090974 51516418 55285912 89137444 95214997 102181948 103032836 178274888 190429994 204363896 206065672 283340299 380859988 566680598 660476837 761719976 1047364967 1133361196 1320953674 2094729934 2266722392 2641907348 4189459868 5283814696 7265245207 8378919736 14530490414 27079550317 29060980828 31042411339 54159100634 58121961656 62084822678 108318201268 124169645356 216636402536 248339290712 297875053487 341466524729 595750106974 682933049458 1191500213948 1272738864899 1365866098916 2383000427896 2545477729798 2731732197832 5090955459596 10181910919192 14000127513889 28000255027778 56000510055556 112001020111112