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22112003331220 = 225114118869129919
BaseRepresentation
bin1010000011100010110100…
…00110101001010010010100
32220021212221112100002210111
411001301122012221102110
510344240340323044340
6115010040351132404
74441353025105135
oct501613206512224
986255845302714
1022112003331220
117055714470370
122591555214104
13c451cb0b769a
14566325db5c8c
152852b5c7aaea
hex141c5a1a9494

22112003331220 has 96 divisors (see below), whose sum is σ = 51895265587200. Its totient is φ = 7844137036800.

The previous prime is 22112003331203. The next prime is 22112003331317. The reversal of 22112003331220 is 2213330021122.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 22112003331191 and 22112003331200.

It is a congruent number.

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, 170133421 + ... + 170263339.

It is an arithmetic number, because the mean of its divisors is an integer number (540575683200).

Almost surely, 222112003331220 is an apocalyptic number.

22112003331220 is a gapful number since it is divisible by the number (20) 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 22112003331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25947632793600).

22112003331220 is an abundant number, since it is smaller than the sum of its proper divisors (29783262255980).

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

22112003331220 is a wasteful number, since it uses less digits than its factorization.

22112003331220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148849 (or 148847 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 22112003331220 its reverse (2213330021122), we get a palindrome (24325333352342).

The spelling of 22112003331220 in words is "twenty-two trillion, one hundred twelve billion, three million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1804 2255 4510 9020 18869 37738 75476 94345 129919 188690 207559 259838 377380 415118 519676 649595 773629 830236 1037795 1299190 1429109 1547258 2075590 2598380 2858218 3094516 3868145 4151180 5326679 5716436 7145545 7736290 8509919 10653358 14291090 15472580 17019838 21306716 26633395 28582180 34039676 42549595 53266790 58593469 85099190 106533580 117186938 170198380 234373876 292967345 585934690 1171869380 2451441611 4902883222 9805766444 12257208055 24514416110 26965857721 49028832220 53931715442 100509106051 107863430884 134829288605 201018212102 269658577210 402036424204 502545530255 539317154420 1005091060510 1105600166561 2010182121020 2211200333122 4422400666244 5528000832805 11056001665610 22112003331220