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2122132113 = 32235792457
BaseRepresentation
bin111111001111101…
…0010101010010001
312110220011110222200
41332133102222101
513321231211423
6550324353413
7103405553043
oct17637225221
95426143880
102122132113
119999852a2
124b2845869
1327a86989a
14161baba93
15c6489d43
hex7e7d2a91

2122132113 has 6 divisors (see below), whose sum is σ = 3065301954. Its totient is φ = 1414754736.

The previous prime is 2122132057. The next prime is 2122132183. The reversal of 2122132113 is 3112312212.

It can be written as a sum of positive squares in only one way, i.e., 1554882624 + 567249489 = 39432^2 + 23817^2 .

It is not a de Polignac number, because 2122132113 - 28 = 2122131857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2122132183) 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, 117896220 + ... + 117896237.

It is an arithmetic number, because the mean of its divisors is an integer number (510883659).

Almost surely, 22122132113 is an apocalyptic number.

It is an amenable number.

2122132113 is a deficient number, since it is larger than the sum of its proper divisors (943169841).

2122132113 is a wasteful number, since it uses less digits than its factorization.

2122132113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235792463 (or 235792460 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 2122132113 is about 46066.6051820622. The cubic root of 2122132113 is about 1285.0621706308.

Adding to 2122132113 its reverse (3112312212), we get a palindrome (5234444325).

The spelling of 2122132113 in words is "two billion, one hundred twenty-two million, one hundred thirty-two thousand, one hundred thirteen".

Divisors: 1 3 9 235792457 707377371 2122132113