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21112022221120 = 265653268937573
BaseRepresentation
bin1001100110011100001101…
…00101011100000101000000
32202202021211010110101101101
410303032012211130011000
510231344410142033440
6112522421253344144
74306202406652525
oct463160645340500
982667733411341
1021112022221120
1167aa616177766
12244b799638054
13ba1b16a03bcc
1452db8228914c
1526928aee669a
hex13338695c140

21112022221120 has 112 divisors (see below), whose sum is σ = 50370055652880. Its totient is φ = 8428516540416.

The previous prime is 21112022221067. The next prime is 21112022221349. The reversal of 21112022221120 is 2112222021112.

It can be written as a sum of positive squares in 8 ways, for example, as 911887485184 + 20200134735936 = 954928^2 + 4494456^2 .

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, 561874654 + ... + 561912226.

Almost surely, 221112022221120 is an apocalyptic number.

21112022221120 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 21112022221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25185027826440).

21112022221120 is an abundant number, since it is smaller than the sum of its proper divisors (29258033431760).

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

21112022221120 is a wasteful number, since it uses less digits than its factorization.

21112022221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40932 (or 40922 counting only the distinct ones).

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

Adding to 21112022221120 its reverse (2112222021112), we get a palindrome (23224244242232).

The spelling of 21112022221120 in words is "twenty-one trillion, one hundred twelve billion, twenty-two million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 653 1306 2612 2689 3265 5224 5378 6530 10448 10756 13060 13445 20896 21512 26120 26890 37573 41792 43024 52240 53780 75146 86048 104480 107560 150292 172096 187865 208960 215120 300584 375730 430240 601168 751460 860480 1202336 1502920 1755917 2404672 3005840 3511834 6011680 7023668 8779585 12023360 14047336 17559170 24535169 28094672 35118340 49070338 56189344 70236680 98140676 101033797 112378688 122675845 140473360 196281352 202067594 245351690 280946720 392562704 404135188 490703380 505168985 561893440 785125408 808270376 981406760 1010337970 1570250816 1616540752 1962813520 2020675940 3233081504 3925627040 4041351880 6466163008 7851254080 8082703760 16165407520 32330815040 65975069441 131950138882 263900277764 329875347205 527800555528 659750694410 1055601111056 1319501388820 2111202222112 2639002777640 4222404444224 5278005555280 10556011110560 21112022221120