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112022211110120 = 23579131929291293
BaseRepresentation
bin11001011110001000110100…
…000110011010010011101000
3112200122012220111111221012022
4121132020310012122103220
5104140332442021010440
61034130143210004012
732411223551402663
oct3136106406322350
9480565814457168
10112022211110120
113276a397838833
12106927a3a16608
134a67859331a2c
141d93c926066da
15ce3e4c61ecb5
hex65e23419a4e8

112022211110120 has 128 divisors (see below), whose sum is σ = 257466610368000. Its totient is φ = 43856550666240.

The previous prime is 112022211110087. The next prime is 112022211110203. The reversal of 112022211110120 is 21011112220211.

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, 384423194 + ... + 384714486.

It is an arithmetic number, because the mean of its divisors is an integer number (2011457893500).

Almost surely, 2112022211110120 is an apocalyptic number.

112022211110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112022211110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128733305184000).

112022211110120 is an abundant number, since it is smaller than the sum of its proper divisors (145444399257880).

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

112022211110120 is a wasteful number, since it uses less digits than its factorization.

112022211110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292443 (or 292439 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 112022211110120 its reverse (21011112220211), we get a palindrome (133033323330331).

The spelling of 112022211110120 in words is "one hundred twelve trillion, twenty-two billion, two hundred eleven million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 79 131 158 262 316 395 524 632 655 790 929 1048 1310 1580 1858 2620 3160 3716 4645 5240 7432 9290 10349 18580 20698 37160 41396 51745 73391 82792 103490 121699 146782 206980 243398 291293 293564 366955 413960 486796 582586 587128 608495 733910 973592 1165172 1216990 1456465 1467820 2330344 2433980 2912930 2935640 4867960 5825860 9614221 11651720 19228442 23012147 38159383 38456884 46024294 48071105 76318766 76913768 92048588 96142210 115060735 152637532 184097176 190796915 192284420 230121470 270611197 305275064 381593830 384568840 460242940 541222394 763187660 920485880 1082444788 1353055985 1526375320 2164889576 2706111970 3014591257 5412223940 6029182514 10824447880 12058365028 15072956285 21378284563 24116730056 30145912570 35450066807 42756569126 60291825140 70900133614 85513138252 106891422815 120583650280 141800267228 171026276504 177250334035 213782845630 283600534456 354500668070 427565691260 709001336140 855131382520 1418002672280 2800555277753 5601110555506 11202221111012 14002776388765 22404442222024 28005552777530 56011105555060 112022211110120