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2122011112 = 231320403953
BaseRepresentation
bin111111001111011…
…0101000111101000
312110212221100000011
41332132311013220
513321213323422
6550322021304
7103404540214
oct17636650750
95425840004
102122011112
119999023a1
124b27a7834
1327a8267a0
14161b79944
15c6464077
hex7e7b51e8

2122011112 has 16 divisors (see below), whose sum is σ = 4284830340. Its totient is φ = 979389696.

The previous prime is 2122011109. The next prime is 2122011149. The reversal of 2122011112 is 2111102212.

It can be written as a sum of positive squares in 2 ways, for example, as 1590892996 + 531118116 = 39886^2 + 23046^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 2122011092 and 2122011101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10201873 + ... + 10202080.

Almost surely, 22122011112 is an apocalyptic number.

It is an amenable number.

2122011112 is an abundant number, since it is smaller than the sum of its proper divisors (2162819228).

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

2122011112 is a wasteful number, since it uses less digits than its factorization.

2122011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20403972 (or 20403968 counting only the distinct ones).

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

The square root of 2122011112 is about 46065.2918366963. The cubic root of 2122011112 is about 1285.0377460184.

Adding to 2122011112 its reverse (2111102212), we get a palindrome (4233113324).

The spelling of 2122011112 in words is "two billion, one hundred twenty-two million, eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 20403953 40807906 81615812 163231624 265251389 530502778 1061005556 2122011112