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2112100120110 = 235374675936871
BaseRepresentation
bin11110101111000010111…
…110100011011000101110
321110220200212222222112110
4132233002332203120232
5234101040112320420
64254141351344450
7305410544542461
oct36570276433056
97426625888473
102112100120110
11744811501252
122a140a082126
13124229b919a6
14743249512d8
1539e19662ee0
hex1ebc2fa362e

2112100120110 has 128 divisors (see below), whose sum is σ = 5226747761664. Its totient is φ = 545829304320.

The previous prime is 2112100120087. The next prime is 2112100120111. The reversal of 2112100120110 is 110210012112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112100120111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 307389975 + ... + 307396845.

It is an arithmetic number, because the mean of its divisors is an integer number (40833966888).

Almost surely, 22112100120110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112100120110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2613373880832).

2112100120110 is an abundant number, since it is smaller than the sum of its proper divisors (3114647641554).

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

2112100120110 is a wasteful number, since it uses less digits than its factorization.

2112100120110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7978.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2112100120110 its reverse (110210012112), we get a palindrome (2222310132222).

The spelling of 2112100120110 in words is "two trillion, one hundred twelve billion, one hundred million, one hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 467 555 593 934 1110 1186 1401 1779 2335 2802 2965 3558 4670 5930 6871 7005 8895 13742 14010 17279 17790 20613 21941 34355 34558 41226 43882 51837 65823 68710 86395 103065 103674 109705 131646 172790 206130 219410 254227 259185 276931 329115 508454 518370 553862 658230 762681 830793 1271135 1384655 1525362 1661586 2542270 2769310 3208757 3813405 4074503 4153965 6417514 7626810 8149006 8307930 9626271 10246447 12223509 16043785 19252542 20372515 20492894 24447018 30739341 32087570 40745030 48131355 51232235 61117545 61478682 96262710 102464470 118724009 122235090 150756611 153696705 237448018 301513222 307393410 356172027 452269833 593620045 712344054 753783055 904539666 1187240090 1507566110 1780860135 1902792901 2261349165 3561720270 3805585802 4522698330 5708378703 9513964505 11416757406 19027929010 28541893515 57083787030 70403337337 140806674674 211210012011 352016686685 422420024022 704033373370 1056050060055 2112100120110