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112210110022120 = 23511975934433563
BaseRepresentation
bin11001100000110111110011…
…101111111000000111101000
3112201022011220111110122200021
4121200313303233320013220
5104201422301131201440
61034352340215450224
732430625062660025
oct3140676357700750
9481264814418607
10112210110022120
1132832049883460
12107030a2986974
134a7c4a25845b6
141d9cdd94b454c
15ce8c9850684a
hex660df3bf81e8

112210110022120 has 128 divisors (see below), whose sum is σ = 278733557773440. Its totient is φ = 40314911293440.

The previous prime is 112210110022093. The next prime is 112210110022121. The reversal of 112210110022120 is 21220011012211.

It is a super-2 number, since 2×1122101100221202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112210110022094 and 112210110022103.

It is not an unprimeable number, because it can be changed into a prime (112210110022121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23092459 + ... + 27526021.

It is an arithmetic number, because the mean of its divisors is an integer number (2177605920105).

Almost surely, 2112210110022120 is an apocalyptic number.

112210110022120 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 112210110022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139366778886720).

112210110022120 is an abundant number, since it is smaller than the sum of its proper divisors (166523447751320).

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

112210110022120 is a wasteful number, since it uses less digits than its factorization.

112210110022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4434275 (or 4434271 counting only the distinct ones).

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

Adding to 112210110022120 its reverse (21220011012211), we get a palindrome (133430121034331).

Subtracting from 112210110022120 its reverse (21220011012211), we obtain a palindrome (90990099009909).

The spelling of 112210110022120 in words is "one hundred twelve trillion, two hundred ten billion, one hundred ten million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 97 110 194 220 388 440 485 593 776 970 1067 1186 1940 2134 2372 2965 3880 4268 4744 5335 5930 6523 8536 10670 11860 13046 21340 23720 26092 32615 42680 52184 57521 65230 115042 130460 230084 260920 287605 460168 575210 632731 1150420 1265462 2300840 2530924 3163655 4433563 5061848 6327310 8867126 12654620 17734252 22167815 25309240 35468504 44335630 48769193 88671260 97538386 177342520 195076772 243845965 390153544 430055611 487691930 860111222 975383860 1720222444 1950767720 2150278055 2629102859 3440444888 4300556110 4730611721 5258205718 8601112220 9461223442 10516411436 13145514295 17202224440 18922446884 21032822872 23653058605 26291028590 28920131449 37844893768 47306117210 52582057180 57840262898 94612234420 105164114360 115680525796 144600657245 189224468840 231361051592 255022977323 289201314490 510045954646 578402628980 1020091909292 1156805257960 1275114886615 2040183818584 2550229773230 2805252750553 5100459546460 5610505501106 10200919092920 11221011002212 14026263752765 22442022004424 28052527505530 56105055011060 112210110022120