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110021101116512 = 2531713146949639
BaseRepresentation
bin11001000001000001001000…
…101001100101110001100000
3112102112220200201000120020212
4121001001020221211301200
5103410041203341212022
61025554555053553252
732113522310166635
oct3101011051456140
9472486621016225
10110021101116512
1132068761377363
121040a9b01a5828
134950c39b2b011
141d2509a57618c
15cabd7be853e2
hex641048a65c60

110021101116512 has 96 divisors (see below), whose sum is σ = 226752215961600. Its totient is φ = 52483488422400.

The previous prime is 110021101116473. The next prime is 110021101116517. The reversal of 110021101116512 is 215611101120011.

It is a super-2 number, since 2×1100211011165122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110021101116517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2216399789 + ... + 2216449427.

It is an arithmetic number, because the mean of its divisors is an integer number (2362002249600).

Almost surely, 2110021101116512 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 110021101116512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113376107980800).

110021101116512 is an abundant number, since it is smaller than the sum of its proper divisors (116731114845088).

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

110021101116512 is a wasteful number, since it uses less digits than its factorization.

110021101116512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81220 (or 81212 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 23.

Adding to 110021101116512 its reverse (215611101120011), we get a palindrome (325632202236523).

The spelling of 110021101116512 in words is "one hundred ten trillion, twenty-one billion, one hundred one million, one hundred sixteen thousand, five hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 71 124 142 248 284 496 568 992 1136 2201 2272 4402 8804 17608 31469 35216 49639 62938 70432 99278 125876 198556 251752 397112 503504 794224 975539 1007008 1538809 1588448 1951078 2234299 3077618 3524369 3902156 4468598 6155236 7048738 7804312 8937196 12310472 14097476 15608624 17874392 24620944 28194952 31217248 35748784 49241888 56389904 69263269 71497568 109255439 112779808 138526538 218510878 277053076 437021756 554106152 874043512 1108212304 1562089691 1748087024 2216424608 3124179382 3496174048 6248358764 12496717528 24993435056 48424780421 49986870112 96849560842 110908368061 193699121684 221816736122 387398243368 443633472244 774796486736 887266944488 1549592973472 1774533888976 3438159409891 3549067777952 6876318819782 13752637639564 27505275279128 55010550558256 110021101116512