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2013330401 is a prime number
BaseRepresentation
bin111100000000000…
…1111101111100001
312012022102210002122
41320000033233201
513110403033101
6531440354025
7100615011635
oct17000175741
95168383078
102013330401
11943521a25
12482315915
13261163a84
14151568dc5
15bbb4751b
hex7800fbe1

2013330401 has 2 divisors, whose sum is σ = 2013330402. Its totient is φ = 2013330400.

The previous prime is 2013330373. The next prime is 2013330443. The reversal of 2013330401 is 1040333102.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2008384225 + 4946176 = 44815^2 + 2224^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2013330401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2013330401.

It is not a weakly prime, because it can be changed into another prime (2013330901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006665200 + 1006665201.

It is an arithmetic number, because the mean of its divisors is an integer number (1006665201).

Almost surely, 22013330401 is an apocalyptic number.

It is an amenable number.

2013330401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013330401 is an equidigital number, since it uses as much as digits as its factorization.

2013330401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2013330401 is about 44870.1504454799. The cubic root of 2013330401 is about 1262.7140625296.

Adding to 2013330401 its reverse (1040333102), we get a palindrome (3053663503).

The spelling of 2013330401 in words is "two billion, thirteen million, three hundred thirty thousand, four hundred one".