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2013222131 = 23592635641
BaseRepresentation
bin111011111111111…
…0101010011110011
312012022020021120122
41313333311103303
513110341102011
6531434200455
7100614051164
oct16777652363
95168207518
102013222131
11943458648
1248228312b
132611266cb
1415153b76b
15bbb253db
hex77ff54f3

2013222131 has 16 divisors (see below), whose sum is σ = 2144862720. Its totient is φ = 1885519680.

The previous prime is 2013222091. The next prime is 2013222143. The reversal of 2013222131 is 1312223102.

It is a cyclic number.

It is not a de Polignac number, because 2013222131 - 26 = 2013222067 is a prime.

It is a super-2 number, since 2×20132221312 = 8106126697496362322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2013222931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 354071 + ... + 359711.

It is an arithmetic number, because the mean of its divisors is an integer number (134053920).

Almost surely, 22013222131 is an apocalyptic number.

2013222131 is a deficient number, since it is larger than the sum of its proper divisors (131640589).

2013222131 is a wasteful number, since it uses less digits than its factorization.

2013222131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5986.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2013222131 is about 44868.9439479023. The cubic root of 2013222131 is about 1262.6914273141.

Adding to 2013222131 its reverse (1312223102), we get a palindrome (3325445233).

The spelling of 2013222131 in words is "two billion, thirteen million, two hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 23 59 263 1357 5641 6049 15517 129743 332819 356891 1483583 7654837 34122409 87531397 2013222131