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212122123 = 2322811427
BaseRepresentation
bin11001010010010…
…11101000001011
3112210010220211221
430221023220023
5413300401443
633014302511
75154002563
oct1451135013
9483126757
10212122123
11a9812544
125b057a37
1334c3ca65
1420259da3
1513950eed
hexca4ba0b

212122123 has 12 divisors (see below), whose sum is σ = 222690888. Its totient is φ = 202035680.

The previous prime is 212122121. The next prime is 212122129. The reversal of 212122123 is 321221212.

It is a happy number.

It is not a de Polignac number, because 212122123 - 21 = 212122121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212122097 and 212122106.

It is not an unprimeable number, because it can be changed into a prime (212122121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147936 + ... + 149362.

It is an arithmetic number, because the mean of its divisors is an integer number (18557574).

Almost surely, 2212122123 is an apocalyptic number.

212122123 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

212122123 is a deficient number, since it is larger than the sum of its proper divisors (10568765).

212122123 is a wasteful number, since it uses less digits than its factorization.

212122123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1731 counting only the distinct ones).

The product of its digits is 96, while the sum is 16.

The square root of 212122123 is about 14564.4128958225. The cubic root of 212122123 is about 596.3876685629.

Adding to 212122123 its reverse (321221212), we get a palindrome (533343335).

The spelling of 212122123 in words is "two hundred twelve million, one hundred twenty-two thousand, one hundred twenty-three".

Divisors: 1 23 281 529 1427 6463 32821 148649 400987 754883 9222701 212122123