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112210202202120 = 2332511181156551987
BaseRepresentation
bin11001100000110111111001…
…001111100001000000001000
3112201022012010220220212212100
4121200313321033201000020
5104201422443230431440
61034352353311313400
732430630262332261
oct3140677117410010
9481265126825770
10112210202202120
1132832096913680
121070310981b860
134a7c4b86ba889
141d9d00782b968
15ce8ca1664230
hex660df93e1008

112210202202120 has 192 divisors, whose sum is σ = 400034163896640. Its totient is φ = 27052183180800.

The previous prime is 112210202202113. The next prime is 112210202202121. The reversal of 112210202202120 is 21202202012211.

It is a happy number.

112210202202120 is a `hidden beast` number, since 1 + 1 + 2 + 210 + 20 + 220 + 212 + 0 = 666.

It is a super-2 number, since 2×1122102022021202 (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 = 112210202202093 and 112210202202102.

It is not an unprimeable number, because it can be changed into a prime (112210202202121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77559234 + ... + 78992753.

It is an arithmetic number, because the mean of its divisors is an integer number (2083511270295).

Almost surely, 2112210202202120 is an apocalyptic number.

112210202202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112210202202120 is an abundant number, since it is smaller than the sum of its proper divisors (287823961694520).

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

112210202202120 is a wasteful number, since it uses less digits than its factorization.

112210202202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156552196 (or 156552189 counting only the distinct ones).

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

Adding to 112210202202120 its reverse (21202202012211), we get a palindrome (133412404214331).

The spelling of 112210202202120 in words is "one hundred twelve trillion, two hundred ten billion, two hundred two million, two hundred two thousand, one hundred twenty".