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110221022221120 = 2652335834179649
BaseRepresentation
bin11001000011111011010100…
…111000000101001101000000
3112110021000201112211221121201
4121003323110320011031000
5103421330123142033440
61030230501045030544
732134130452431136
oct3103732470051500
9473230645757551
10110221022221120
1132135522651258
12104416a53b5454
134966a4a9b5815
141d30a23d9b756
15cb217d52319a
hex643ed4e05340

110221022221120 has 112 divisors (see below), whose sum is σ = 273951782092800. Its totient is φ = 42159741566976.

The previous prime is 110221022221117. The next prime is 110221022221151. The reversal of 110221022221120 is 21122220122011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24281056 + ... + 28460704.

It is an arithmetic number, because the mean of its divisors is an integer number (2445998054400).

Almost surely, 2110221022221120 is an apocalyptic number.

110221022221120 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 110221022221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136975891046400).

110221022221120 is an abundant number, since it is smaller than the sum of its proper divisors (163730759871680).

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

110221022221120 is a wasteful number, since it uses less digits than its factorization.

110221022221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4183272 (or 4183262 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 110221022221120 its reverse (21122220122011), we get a palindrome (131343242343131).

The spelling of 110221022221120 in words is "one hundred ten trillion, two hundred twenty-one billion, twenty-two million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1472 1840 3583 3680 7166 7360 14332 17915 28664 35830 57328 71660 82409 114656 143320 164818 229312 286640 329636 412045 573280 659272 824090 1146560 1318544 1648180 2637088 3296360 4179649 5274176 6592720 8359298 13185440 16718596 20898245 26370880 33437192 41796490 66874384 83592980 96131927 133748768 167185960 192263854 267497536 334371920 384527708 480659635 668743840 769055416 961319270 1337487680 1538110832 1922638540 3076221664 3845277080 6152443328 7690554160 14975682367 15381108320 29951364734 30762216640 59902729468 74878411835 119805458936 149756823670 239610917872 299513647340 344440694441 479221835744 599027294680 688881388882 958443671488 1198054589360 1377762777764 1722203472205 2396109178720 2755525555528 3444406944410 4792218357440 5511051111056 6888813888820 11022102222112 13777627777640 22044204444224 27555255555280 55110511110560 110221022221120