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11022102112120 = 23511193290940063
BaseRepresentation
bin1010000001100100100001…
…1110110010011101111000
31110000200222020200022021121
42200121020132302131320
52421041231120041440
635235252300315024
72215214652062101
oct240311036623570
943020866608247
1011022102112120
11356a4a1329980
1212a01a7842a74
1361c4c2478cc8
142a1688ad73a8
15141a9bc5834a
hexa06487b2778

11022102112120 has 128 divisors (see below), whose sum is σ = 28479734784000. Its totient is φ = 3796877652480.

The previous prime is 11022102112117. The next prime is 11022102112157. The reversal of 11022102112120 is 2121120122011.

It is a junction number, because it is equal to n+sod(n) for n = 11022102112094 and 11022102112103.

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, 275099209 + ... + 275139271.

It is an arithmetic number, because the mean of its divisors is an integer number (222497928000).

Almost surely, 211022102112120 is an apocalyptic number.

11022102112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11022102112120 is an abundant number, since it is smaller than the sum of its proper divisors (17457632671880).

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

11022102112120 is a wasteful number, since it uses less digits than its factorization.

11022102112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73013 (or 73009 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11022102112120 its reverse (2121120122011), we get a palindrome (13143222234131).

The spelling of 11022102112120 in words is "eleven trillion, twenty-two billion, one hundred two million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 32909 40063 65818 80126 131636 160252 164545 200315 263272 320504 329090 361999 400630 440693 625271 658180 723998 761197 801260 881386 1250542 1316360 1447996 1522394 1602520 1762772 1809995 2203465 2501084 2895992 3044788 3126355 3525544 3619990 3805985 4406930 5002168 6089576 6252710 6877981 7239980 7611970 8373167 8813860 12505420 13755962 14479960 15223940 16746334 17627720 25010840 27511924 30447880 33492668 34389905 41865835 55023848 66985336 68779810 83731670 137559620 167463340 275119240 334926680 1318433267 2636866534 5273733068 6592166335 10547466136 13184332670 14502765937 25050232073 26368665340 29005531874 50100464146 52737330680 58011063748 72513829685 100200928292 116022127496 125251160365 145027659370 200401856584 250502320730 275552552803 290055318740 501004641460 551105105606 580110637480 1002009282920 1102210211212 1377762764015 2204420422424 2755525528030 5511051056060 11022102112120