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112210120220220 = 2232511234321916977
BaseRepresentation
bin11001100000110111110100…
…010110110001111000111100
3112201022011221012122202211200
4121200313310112301320330
5104201422311234021340
61034352341222215500
732430625245443061
oct3140676426617074
9481264835582750
10112210120220220
1132832054609440
12107030a6284590
134a7c4a4715389
141d9cdda9aac68
15ce8c9936d330
hex660df45b1e3c

112210120220220 has 864 divisors, whose sum is σ = 398811743576064. Its totient is φ = 25277943398400.

The previous prime is 112210120220201. The next prime is 112210120220239. The reversal of 112210120220220 is 22022021012211.

It is a happy number.

112210120220220 is a `hidden beast` number, since 1 + 1 + 2 + 210 + 12 + 0 + 220 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (112210120220201) and next prime (112210120220239).

It is a super-2 number, since 2×1122101202202202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112210120220193 and 112210120220202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16082857372 + ... + 16082864348.

It is an arithmetic number, because the mean of its divisors is an integer number (461587666176).

Almost surely, 2112210120220220 is an apocalyptic number.

112210120220220 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 112210120220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199405871788032).

112210120220220 is an abundant number, since it is smaller than the sum of its proper divisors (286601623355844).

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

112210120220220 is a wasteful number, since it uses less digits than its factorization.

112210120220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7303 (or 7255 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112210120220220 its reverse (22022021012211), we get a palindrome (134232141232431).

The spelling of 112210120220220 in words is "one hundred twelve trillion, two hundred ten billion, one hundred twenty million, two hundred twenty thousand, two hundred twenty".