Search a number
-
+
2013213029 is a prime number
BaseRepresentation
bin111011111111111…
…0011000101100101
312012022012211002112
41313333303011211
513110340304104
6531434050405
7100614012512
oct16777630545
95168184075
102013213029
11943451823
12482279a05
13261122519
14151538309
15bbb2286e
hex77ff3165

2013213029 has 2 divisors, whose sum is σ = 2013213030. Its totient is φ = 2013213028.

The previous prime is 2013212989. The next prime is 2013213047. The reversal of 2013213029 is 9203123102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1444152004 + 569061025 = 38002^2 + 23855^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013213029 - 224 = 1996435813 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2013212995 and 2013213013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013213079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006606514 + 1006606515.

It is an arithmetic number, because the mean of its divisors is an integer number (1006606515).

Almost surely, 22013213029 is an apocalyptic number.

It is an amenable number.

2013213029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013213029 is an equidigital number, since it uses as much as digits as its factorization.

2013213029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 2013213029 is about 44868.8425190577. The cubic root of 2013213029 is about 1262.6895243887.

The spelling of 2013213029 in words is "two billion, thirteen million, two hundred thirteen thousand, twenty-nine".