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210220122112 = 2157111321729
BaseRepresentation
bin1100001111001000011…
…0001000000000000000
3202002121121020200101121
43003302012020000000
511421012322401422
6240323534442024
721121310361250
oct3036206100000
9662547220347
10210220122112
1181176862210
12348aa363314
1316a927ba800
14a263583960
1557058138c7
hex30f2188000

210220122112 has 768 divisors, whose sum is σ = 621712195200. Its totient is φ = 68702699520.

The previous prime is 210220122067. The next prime is 210220122113. The reversal of 210220122112 is 211221022012.

It is a happy number.

210220122112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210220122113) 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, 7248969714 + ... + 7248969742.

Almost surely, 2210220122112 is an apocalyptic number.

210220122112 is a gapful number since it is divisible by the number (22) 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 210220122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310856097600).

210220122112 is an abundant number, since it is smaller than the sum of its proper divisors (411492073088).

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

210220122112 is a wasteful number, since it uses less digits than its factorization.

210220122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 210220122112 its reverse (211221022012), we get a palindrome (421441144124).

It can be divided in two parts, 21022012 and 2112, that multiplied together give a palindrome (44398489344).

The spelling of 210220122112 in words is "two hundred ten billion, two hundred twenty million, one hundred twenty-two thousand, one hundred twelve".