Search a number
-
+
2013111307 is a prime number
BaseRepresentation
bin111011111111101…
…1010010000001011
312012022000122120001
41313333122100023
513110324030212
6531431543431
7100613110114
oct16777322013
95168018501
102013111307
11943392359
1248222ab77
132610b812c
1415150d20b
15bbb02657
hex77fda40b

2013111307 has 2 divisors, whose sum is σ = 2013111308. Its totient is φ = 2013111306.

The previous prime is 2013111301. The next prime is 2013111323. The reversal of 2013111307 is 7031113102.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2013111307 - 219 = 2012587019 is a prime.

It is not a weakly prime, because it can be changed into another prime (2013111301) 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 as a sum of consecutive naturals, namely, 1006555653 + 1006555654.

It is an arithmetic number, because the mean of its divisors is an integer number (1006555654).

Almost surely, 22013111307 is an apocalyptic number.

2013111307 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013111307 is an equidigital number, since it uses as much as digits as its factorization.

2013111307 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 2013111307 is about 44867.7089564422. The cubic root of 2013111307 is about 1262.6682573121.

Adding to 2013111307 its reverse (7031113102), we get a palindrome (9044224409).

The spelling of 2013111307 in words is "two billion, thirteen million, one hundred eleven thousand, three hundred seven".