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2132222013 = 32298169433
BaseRepresentation
bin111111100010111…
…0010000000111101
312111121011002201200
41333011302000331
513331322101023
6551324530113
7103560405465
oct17705620075
95447132650
102132222013
119a4646a59
124b60b0939
1327c99033c
14163276ba5
15c72ce743
hex7f17203d

2132222013 has 12 divisors (see below), whose sum is σ = 3186079260. Its totient is φ = 1372464576.

The previous prime is 2132222011. The next prime is 2132222077. The reversal of 2132222013 is 3102222312.

It can be written as a sum of positive squares in 2 ways, for example, as 665485209 + 1466736804 = 25797^2 + 38298^2 .

It is not a de Polignac number, because 2132222013 - 21 = 2132222011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132222011) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4084456 + ... + 4084977.

It is an arithmetic number, because the mean of its divisors is an integer number (265506605).

Almost surely, 22132222013 is an apocalyptic number.

It is an amenable number.

2132222013 is a deficient number, since it is larger than the sum of its proper divisors (1053857247).

2132222013 is a wasteful number, since it uses less digits than its factorization.

2132222013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8169468 (or 8169465 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2132222013 is about 46175.9895725040. The cubic root of 2132222013 is about 1287.0956056507.

Adding to 2132222013 its reverse (3102222312), we get a palindrome (5234444325).

The spelling of 2132222013 in words is "two billion, one hundred thirty-two million, two hundred twenty-two thousand, thirteen".

Divisors: 1 3 9 29 87 261 8169433 24508299 73524897 236913557 710740671 2132222013