Search a number
-
+
2122111012 = 227210827097
BaseRepresentation
bin111111001111100…
…1101100000100100
312110220010102001011
41332133031200210
513321230023022
6550324112004
7103405434400
oct17637154044
95426112034
102122111012
1199997045a
124b2835604
1327a8600b8
14161ba4100
15c6483977
hex7e7cd824

2122111012 has 18 divisors (see below), whose sum is σ = 4320012102. Its totient is φ = 909476064.

The previous prime is 2122110979. The next prime is 2122111027. The reversal of 2122111012 is 2101112212.

It can be written as a sum of positive squares in only one way, i.e., 1952225856 + 169885156 = 44184^2 + 13034^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2122110983 and 2122111001.

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 5 ways as a sum of consecutive naturals, for example, 5413353 + ... + 5413744.

Almost surely, 22122111012 is an apocalyptic number.

It is an amenable number.

2122111012 is an abundant number, since it is smaller than the sum of its proper divisors (2197901090).

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

2122111012 is a wasteful number, since it uses less digits than its factorization.

2122111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10827115 (or 10827106 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 2122111012 is about 46066.3761544144. The cubic root of 2122111012 is about 1285.0579113630.

Adding to 2122111012 its reverse (2101112212), we get a palindrome (4223223224).

The spelling of 2122111012 in words is "two billion, one hundred twenty-two million, one hundred eleven thousand, twelve".

Divisors: 1 2 4 7 14 28 49 98 196 10827097 21654194 43308388 75789679 151579358 303158716 530527753 1061055506 2122111012