Search a number
-
+
331243225129 is a prime number
BaseRepresentation
bin1001101000111111010…
…00101000000000101001
31011122222220120022101101
410310133220220000221
520411341231201004
6412100535521401
732634341646265
oct4643750500051
91148886508341
10331243225129
1111853018a813
1254244829261
132530b94097b
141206472d0a5
15893a510ba4
hex4d1fa28029

331243225129 has 2 divisors, whose sum is σ = 331243225130. Its totient is φ = 331243225128.

The previous prime is 331243225087. The next prime is 331243225147. The reversal of 331243225129 is 921522342133.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 328827699225 + 2415525904 = 573435^2 + 49148^2 .

It is an emirp because it is prime and its reverse (921522342133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 331243225129 - 211 = 331243223081 is a prime.

It is a super-2 number, since 2×3312432251292 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (331243225429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165621612564 + 165621612565.

It is an arithmetic number, because the mean of its divisors is an integer number (165621612565).

Almost surely, 2331243225129 is an apocalyptic number.

It is an amenable number.

331243225129 is a deficient number, since it is larger than the sum of its proper divisors (1).

331243225129 is an equidigital number, since it uses as much as digits as its factorization.

331243225129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 77760, while the sum is 37.

The spelling of 331243225129 in words is "three hundred thirty-one billion, two hundred forty-three million, two hundred twenty-five thousand, one hundred twenty-nine".