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112111211002122 = 2326228400611229
BaseRepresentation
bin11001011111011011101100…
…111010000011100100001010
3112200221201122001111220001200
4121133123230322003210022
5104143312230004031442
61034235102422325030
732420524215115533
oct3137335472034412
9480851561456050
10112111211002122
11327a4108971992
12106a7aa1889776
134a73070ba9917
141d982d676968a
15ce640ac9834c
hex65f6ece8390a

112111211002122 has 12 divisors (see below), whose sum is σ = 242907623837970. Its totient is φ = 37370403667368.

The previous prime is 112111211002051. The next prime is 112111211002129. The reversal of 112111211002122 is 221200112111211.

It is a happy number.

112111211002122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 103505372190081 + 8605838812041 = 10173759^2 + 2933571^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 6228400611229 = 112111211002122 / (1 + 1 + 2 + 1 + 1 + 1 + 2 + 1 + 1 + 0 + 0 + 2 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 112111211002095 and 112111211002104.

It is not an unprimeable number, because it can be changed into a prime (112111211002129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3114200305597 + ... + 3114200305632.

Almost surely, 2112111211002122 is an apocalyptic number.

112111211002122 is an abundant number, since it is smaller than the sum of its proper divisors (130796412835848).

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

112111211002122 is a wasteful number, since it uses less digits than its factorization.

112111211002122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6228400611237 (or 6228400611234 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112111211002122 its reverse (221200112111211), we get a palindrome (333311323113333).

The spelling of 112111211002122 in words is "one hundred twelve trillion, one hundred eleven billion, two hundred eleven million, two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 6228400611229 12456801222458 18685201833687 37370403667374 56055605501061 112111211002122