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151431120013 is a prime number
BaseRepresentation
bin1000110100000111111…
…1111000010010001101
3112110212111100221110111
42031001333320102031
54440112331320023
6153322210240021
713640414165545
oct2150177702215
9473774327414
10151431120013
1159248a12868
1225421b86011
1311383c05934
147487884325
153e1457000d
hex2341ff848d

151431120013 has 2 divisors, whose sum is σ = 151431120014. Its totient is φ = 151431120012.

The previous prime is 151431119977. The next prime is 151431120017. The reversal of 151431120013 is 310021134151.

It is a happy number.

151431120013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119288725924 + 32142394089 = 345382^2 + 179283^2 .

It is a cyclic number.

It is not a de Polignac number, because 151431120013 - 29 = 151431119501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (151431120017) 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, 75715560006 + 75715560007.

It is an arithmetic number, because the mean of its divisors is an integer number (75715560007).

Almost surely, 2151431120013 is an apocalyptic number.

It is an amenable number.

151431120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

151431120013 is an equidigital number, since it uses as much as digits as its factorization.

151431120013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 22.

Adding to 151431120013 its reverse (310021134151), we get a palindrome (461452254164).

The spelling of 151431120013 in words is "one hundred fifty-one billion, four hundred thirty-one million, one hundred twenty thousand, thirteen".