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112112211213222 = 2311314715121373613
BaseRepresentation
bin11001011111011100101000…
…100001100011101110100110
3112200221211012202120212202020
4121133130220201203232212
5104143321302032310342
61034235345552324010
732420561051556063
oct3137345041435646
9480854182525666
10112112211213222
11327a458151a330
12106a8120843606
134a731a018bbcc
141d9838d52dc6a
15ce64689bc0ec
hex65f728863ba6

112112211213222 has 256 divisors, whose sum is σ = 259772482584576. Its totient is φ = 31941060480000.

The previous prime is 112112211213209. The next prime is 112112211213241. The reversal of 112112211213222 is 222312112211211.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 112112211213192 and 112112211213201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31030225488 + ... + 31030229100.

It is an arithmetic number, because the mean of its divisors is an integer number (1014736260096).

Almost surely, 2112112211213222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112112211213222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129886241292288).

112112211213222 is an abundant number, since it is smaller than the sum of its proper divisors (147660271371354).

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

112112211213222 is a wasteful number, since it uses less digits than its factorization.

112112211213222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5995.

The product of its digits is 384, while the sum is 24.

Adding to 112112211213222 its reverse (222312112211211), we get a palindrome (334424323424433).

The spelling of 112112211213222 in words is "one hundred twelve trillion, one hundred twelve billion, two hundred eleven million, two hundred thirteen thousand, two hundred twenty-two".