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2112122122 = 211313306727
BaseRepresentation
bin111110111100100…
…0110110100001010
312110012022220212021
41331321012310022
513311200401442
6545330035054
7103224512305
oct17571066412
95405286767
102112122122
11994268680
124ab418a8a
13278773606
14160723b3c
15c565de67
hex7de46d0a

2112122122 has 16 divisors (see below), whose sum is σ = 3467253312. Its totient is φ = 956985120.

The previous prime is 2112122119. The next prime is 2112122147. The reversal of 2112122122 is 2212212112.

It is a happy number.

It is a super-2 number, since 2×21121221222 = 8922119716483565768, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2112122096 and 2112122105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146478 + ... + 160249.

It is an arithmetic number, because the mean of its divisors is an integer number (216703332).

Almost surely, 22112122122 is an apocalyptic number.

2112122122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2112122122 is a deficient number, since it is larger than the sum of its proper divisors (1355131190).

2112122122 is a wasteful number, since it uses less digits than its factorization.

2112122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307053.

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

The square root of 2112122122 is about 45957.8298225667. The cubic root of 2112122122 is about 1283.0384607204.

Adding to 2112122122 its reverse (2212212112), we get a palindrome (4324334234).

The spelling of 2112122122 in words is "two billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 11 22 313 626 3443 6886 306727 613454 3373997 6747994 96005551 192011102 1056061061 2112122122