Search a number
-
+
142115331361 is a prime number
BaseRepresentation
bin1000010001011010111…
…0111101110100100001
3111120211021001211212011
42010112232331310201
54312023011100421
6145141544432521
713160515246063
oct2042656756441
9446737054764
10142115331361
11552a8443983
1223662178741
131052abba263
146c42549733
153a6b7b64e1
hex2116bbdd21

142115331361 has 2 divisors, whose sum is σ = 142115331362. Its totient is φ = 142115331360.

The previous prime is 142115331359. The next prime is 142115331431. The reversal of 142115331361 is 163133511241.

142115331361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111893595025 + 30221736336 = 334505^2 + 173844^2 .

It is a cyclic number.

It is not a de Polignac number, because 142115331361 - 21 = 142115331359 is a prime.

It is a super-2 number, since 2×1421153313612 (a number of 23 digits) contains 22 as substring.

Together with 142115331359, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (142115331661) 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, 71057665680 + 71057665681.

It is an arithmetic number, because the mean of its divisors is an integer number (71057665681).

Almost surely, 2142115331361 is an apocalyptic number.

It is an amenable number.

142115331361 is a deficient number, since it is larger than the sum of its proper divisors (1).

142115331361 is an equidigital number, since it uses as much as digits as its factorization.

142115331361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6480, while the sum is 31.

The spelling of 142115331361 in words is "one hundred forty-two billion, one hundred fifteen million, three hundred thirty-one thousand, three hundred sixty-one".