Search a number
-
+
3003132111013 is a prime number
BaseRepresentation
bin101011101100111000100…
…111110110100010100101
3101122002121102220000000201
4223230320213312202211
5343200403310023023
610215341515310501
7426653261522056
oct53547047664245
911562542800021
103003132111013
11a58691870081
1240603aa4b431
1318a26a6bba28
14a54d0c8c72d
15531b96d1bad
hex2bb389f68a5

3003132111013 has 2 divisors, whose sum is σ = 3003132111014. Its totient is φ = 3003132111012.

The previous prime is 3003132110963. The next prime is 3003132111137. The reversal of 3003132111013 is 3101112313003.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2976929242884 + 26202868129 = 1725378^2 + 161873^2 .

It is a cyclic number.

It is not a de Polignac number, because 3003132111013 - 217 = 3003131979941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3003132111313) 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, 1501566055506 + 1501566055507.

It is an arithmetic number, because the mean of its divisors is an integer number (1501566055507).

Almost surely, 23003132111013 is an apocalyptic number.

It is an amenable number.

3003132111013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3003132111013 is an equidigital number, since it uses as much as digits as its factorization.

3003132111013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 3003132111013 its reverse (3101112313003), we get a palindrome (6104244424016).

The spelling of 3003132111013 in words is "three trillion, three billion, one hundred thirty-two million, one hundred eleven thousand, thirteen".