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22101101111120 = 2453183563190711
BaseRepresentation
bin1010000011001110100000…
…10001111110011101010000
32220020211210201212221100212
411001213100101332131100
510344101023341023440
6115001034454503252
74440515613546653
oct501472021763520
986224721787325
1022101101111120
11705102a448009
12258b412064b28
13c44181507185
145659b00b989a
15284d78aa3465
hex1419d047e750

22101101111120 has 160 divisors (see below), whose sum is σ = 53777342029824. Its totient is φ = 8437132454400.

The previous prime is 22101101111113. The next prime is 22101101111189. The reversal of 22101101111120 is 2111110110122.

It is a junction number, because it is equal to n+sod(n) for n = 22101101111095 and 22101101111104.

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, 115792565 + ... + 115983275.

Almost surely, 222101101111120 is an apocalyptic number.

22101101111120 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 22101101111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26888671014912).

22101101111120 is an abundant number, since it is smaller than the sum of its proper divisors (31676240918704).

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

22101101111120 is a wasteful number, since it uses less digits than its factorization.

22101101111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191401 (or 191395 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 22101101111120 its reverse (2111110110122), we get a palindrome (24212211221242).

The spelling of 22101101111120 in words is "twenty-two trillion, one hundred one billion, one hundred one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 83 124 155 166 248 310 332 415 496 563 620 664 830 1126 1240 1328 1660 2252 2480 2573 2815 3320 4504 5146 5630 6640 9008 10292 11260 12865 17453 20584 22520 25730 34906 41168 45040 46729 51460 69812 87265 93458 102920 139624 174530 186916 190711 205840 233645 279248 349060 373832 381422 467290 698120 747664 762844 934580 953555 1396240 1448599 1525688 1869160 1907110 2897198 3051376 3738320 3814220 5794396 5912041 7242995 7628440 11588792 11824082 14485990 15256880 15829013 23177584 23648164 28971980 29560205 31658026 47296328 57943960 59120410 63316052 79145065 94592656 107370293 115887920 118240820 126632104 158290130 214740586 236481640 253264208 316580260 429481172 472963280 490699403 536851465 633160520 858962344 981398806 1073702930 1266321040 1717924688 1962797612 2147405860 2453497015 3328479083 3925595224 4294811720 4906994030 6656958166 7851190448 8589623440 8911734319 9813988060 13313916332 16642395415 17823468638 19627976120 26627832664 33284790830 35646937276 39255952240 44558671595 53255665328 66569581660 71293874552 89117343190 133139163320 142587749104 178234686380 266278326640 276263763889 356469372760 552527527778 712938745520 1105055055556 1381318819445 2210110111112 2762637638890 4420220222224 5525275277780 11050550555560 22101101111120