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112202112210021 = 3292941293250109
BaseRepresentation
bin11001100000110000010111…
…000010101001010001100101
3112201021102021010011201000100
4121200300113002221101211
5104201304411211210041
61034344534434534313
732430222636461421
oct3140602702512145
9481242233151010
10112202112210021
113282971526a899
1210701630437399
134a7b7c96292c2
141d9c87b219b81
15ce897b2de6b6
hex660c170a9465

112202112210021 has 24 divisors (see below), whose sum is σ = 162283517487000. Its totient is φ = 74702770348032.

The previous prime is 112202112209987. The next prime is 112202112210031. The reversal of 112202112210021 is 120012211202211.

112202112210021 is a `hidden beast` number, since 1 + 1 + 220 + 211 + 2 + 210 + 0 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2570846664996 + 109631265545025 = 1603386^2 + 10470495^2 .

It is not a de Polignac number, because 112202112210021 - 235 = 112167752471653 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112202112209976 and 112202112210003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112202112210031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32897515 + ... + 36147623.

It is an arithmetic number, because the mean of its divisors is an integer number (6761813228625).

Almost surely, 2112202112210021 is an apocalyptic number.

It is an amenable number.

112202112210021 is a deficient number, since it is larger than the sum of its proper divisors (50081405276979).

112202112210021 is a wasteful number, since it uses less digits than its factorization.

112202112210021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3255173 (or 3255170 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112202112210021 its reverse (120012211202211), we get a palindrome (232214323412232).

The spelling of 112202112210021 in words is "one hundred twelve trillion, two hundred two billion, one hundred twelve million, two hundred ten thousand, twenty-one".

Divisors: 1 3 9 929 2787 4129 8361 12387 37161 3250109 3835841 9750327 11507523 29250981 34522569 3019351261 9058053783 13419700061 27174161349 40259100183 120777300549 12466901356669 37400704070007 112202112210021