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2112332121 = 33233401501
BaseRepresentation
bin111110111100111…
…1010000101011001
312110012201120221000
41331321322011121
513311224111441
6545334335213
7103226345454
oct17571720531
95405646830
102112332121
119943a1429
124ab4ba509
13278818083
1416077a49b
15c56a12b6
hex7de7a159

2112332121 has 16 divisors (see below), whose sum is σ = 3265441920. Its totient is φ = 1346994000.

The previous prime is 2112332107. The next prime is 2112332143. The reversal of 2112332121 is 1212332112.

2112332121 is a `hidden beast` number, since 211 + 2 + 332 + 121 = 666.

It is not a de Polignac number, because 2112332121 - 215 = 2112299353 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2112332094 and 2112332103.

It is not an unprimeable number, because it can be changed into a prime (2112332191) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1700130 + ... + 1701371.

It is an arithmetic number, because the mean of its divisors is an integer number (204090120).

Almost surely, 22112332121 is an apocalyptic number.

It is an amenable number.

2112332121 is a deficient number, since it is larger than the sum of its proper divisors (1153109799).

2112332121 is a wasteful number, since it uses less digits than its factorization.

2112332121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3401533 (or 3401527 counting only the distinct ones).

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

The square root of 2112332121 is about 45960.1144580820. The cubic root of 2112332121 is about 1283.0809815989.

Adding to 2112332121 its reverse (1212332112), we get a palindrome (3324664233).

Subtracting from 2112332121 its reverse (1212332112), we obtain a palindrome (900000009).

It can be divided in two parts, 211 and 2332121, that added together give a palindrome (2332332).

The spelling of 2112332121 in words is "two billion, one hundred twelve million, three hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 23 27 69 207 621 3401501 10204503 30613509 78234523 91840527 234703569 704110707 2112332121