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2013222329 is a prime number
BaseRepresentation
bin111011111111111…
…0101010110111001
312012022020021211222
41313333311112321
513110341103304
6531434201425
7100614051566
oct16777652671
95168207758
102013222329
11943458808
12482283275
13261126821
1415153b86d
15bbb254be
hex77ff55b9

2013222329 has 2 divisors, whose sum is σ = 2013222330. Its totient is φ = 2013222328.

The previous prime is 2013222319. The next prime is 2013222347. The reversal of 2013222329 is 9232223102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1801578025 + 211644304 = 42445^2 + 14548^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013222329 - 216 = 2013156793 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2013222298 and 2013222307.

It is not a weakly prime, because it can be changed into another prime (2013222319) 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 as a sum of consecutive naturals, namely, 1006611164 + 1006611165.

It is an arithmetic number, because the mean of its divisors is an integer number (1006611165).

Almost surely, 22013222329 is an apocalyptic number.

It is an amenable number.

2013222329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013222329 is an equidigital number, since it uses as much as digits as its factorization.

2013222329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 2013222329 is about 44868.9461543282. The cubic root of 2013222329 is about 1262.6914687093.

The spelling of 2013222329 in words is "two billion, thirteen million, two hundred twenty-two thousand, three hundred twenty-nine".