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112211011121020 = 225719214091575757
BaseRepresentation
bin11001100000111000101001…
…011101010010111101111100
3112201022021020022001012222121
4121200320221131102331330
5104201431122321333040
61034353005445252324
732430656314123360
oct3140705135227574
9481267208035877
10112211011121020
1132832471496399
12107032b47040a4
134a7c5b7174206
141d9d0830392a0
15ce8cec69dc4a
hex660e29752f7c

112211011121020 has 144 divisors (see below), whose sum is σ = 284428352940480. Its totient is φ = 36421595578368.

The previous prime is 112211011120979. The next prime is 112211011121047. The reversal of 112211011121020 is 20121110112211.

It is a super-2 number, since 2×1122110111210202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112211011120985 and 112211011121003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70422982 + ... + 71998738.

It is an arithmetic number, because the mean of its divisors is an integer number (1975196895420).

Almost surely, 2112211011121020 is an apocalyptic number.

112211011121020 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 112211011121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142214176470240).

112211011121020 is an abundant number, since it is smaller than the sum of its proper divisors (172217341819460).

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

112211011121020 is a wasteful number, since it uses less digits than its factorization.

112211011121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577220 (or 1577199 counting only the distinct ones).

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

Adding to 112211011121020 its reverse (20121110112211), we get a palindrome (132332121233231).

The spelling of 112211011121020 in words is "one hundred twelve trillion, two hundred eleven billion, eleven million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 361 380 532 665 722 1330 1409 1444 1805 2527 2660 2818 3610 5054 5636 7045 7220 9863 10108 12635 14090 19726 25270 26771 28180 39452 49315 50540 53542 98630 107084 133855 187397 197260 267710 374794 508649 535420 749588 936985 1017298 1575757 1873970 2034596 2543245 3151514 3560543 3747940 5086490 6303028 7121086 7878785 10172980 11030299 14242172 15757570 17802715 22060598 29939383 31515140 35605430 44121196 55151495 59878766 71210860 110302990 119757532 149696915 209575681 220605980 299393830 419151362 568848277 598787660 838302724 1047878405 1137696554 2095756810 2220241613 2275393108 2844241385 3981937939 4191513620 4440483226 5688482770 7963875878 8880966452 11101208065 11376965540 15541691291 15927751756 19909689695 22202416130 31083382582 39819379390 42184590647 44404832260 62166765164 77708456455 79638758780 84369181294 155416912910 168738362588 210922953235 295292134529 310833825820 421845906470 590584269058 801507222293 843691812940 1181168538116 1476460672645 1603014444586 2952921345290 3206028889172 4007536111465 5610550556051 5905842690580 8015072222930 11221101112102 16030144445860 22442202224204 28052752780255 56105505560510 112211011121020