Search a number
-
+
20023164146339 is a prime number
BaseRepresentation
bin1001000110110000000011…
…00101100001001010100011
32121220012021201220001200122
410203120001211201022203
510111024420010140324
6110330303054110455
74134424450020134
oct443300145411243
977805251801618
1020023164146339
11641a85a181032
1222b47591ab42b
13b2323a3859c3
144d31aa877c8b
1524acad7bba5e
hex1236019612a3

20023164146339 has 2 divisors, whose sum is σ = 20023164146340. Its totient is φ = 20023164146338.

The previous prime is 20023164146327. The next prime is 20023164146341. The reversal of 20023164146339 is 93364146132002.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20023164146339 is a prime.

It is a super-2 number, since 2×200231641463392 (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 20023164146341, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20023164146339.

It is not a weakly prime, because it can be changed into another prime (20023164142339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10011582073169 + 10011582073170.

It is an arithmetic number, because the mean of its divisors is an integer number (10011582073170).

Almost surely, 220023164146339 is an apocalyptic number.

20023164146339 is a deficient number, since it is larger than the sum of its proper divisors (1).

20023164146339 is an equidigital number, since it uses as much as digits as its factorization.

20023164146339 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 559872, while the sum is 44.

The spelling of 20023164146339 in words is "twenty trillion, twenty-three billion, one hundred sixty-four million, one hundred forty-six thousand, three hundred thirty-nine".