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112112211223220 = 225136132572170361
BaseRepresentation
bin11001011111011100101000…
…100001100110001010110100
3112200221211012202121101110112
4121133130220201212022310
5104143321302033120340
61034235345552442152
732420561051630165
oct3137345041461264
9480854182541415
10112112211223220
11327a458152689a
12106a8120849358
134a731a0193620
141d9838d53376c
15ce64689c0065
hex65f7288662b4

112112211223220 has 96 divisors (see below), whose sum is σ = 257781812220576. Its totient is φ = 40704146841600.

The previous prime is 112112211223211. The next prime is 112112211223241. The reversal of 112112211223220 is 22322112211211.

It can be written as a sum of positive squares in 16 ways, for example, as 60152247500944 + 51959963722276 = 7755788^2 + 7208326^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50570840 + ... + 52741200.

It is an arithmetic number, because the mean of its divisors is an integer number (2685227210631).

Almost surely, 2112112211223220 is an apocalyptic number.

112112211223220 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 112112211223220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128890906110288).

112112211223220 is an abundant number, since it is smaller than the sum of its proper divisors (145669600997356).

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

112112211223220 is a wasteful number, since it uses less digits than its factorization.

112112211223220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173701 (or 2173699 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 112112211223220 its reverse (22322112211211), we get a palindrome (134434323434431).

The spelling of 112112211223220 in words is "one hundred twelve trillion, one hundred twelve billion, two hundred eleven million, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 244 260 305 610 793 1220 1586 3172 3257 3965 6514 7930 13028 15860 16285 32570 42341 65140 84682 169364 198677 211705 397354 423410 794708 846820 993385 1986770 2170361 2582801 3973540 4340722 5165602 8681444 10331204 10851805 12914005 21703610 25828010 28214693 43407220 51656020 56429386 112858772 132392021 141073465 264784042 282146930 529568084 564293860 661960105 1323920210 1721096273 2647840420 3442192546 6884385092 7068865777 8605481365 14137731554 17210962730 28275463108 34421925460 35344328885 70688657770 91895255101 141377315540 183790510202 367581020404 431200812397 459476275505 862401624794 918952551010 1724803249588 1837905102020 2156004061985 4312008123970 5605610561161 8624016247940 11211221122322 22422442244644 28028052805805 56056105611610 112112211223220