Search a number
-
+
13931623193 is a prime number
BaseRepresentation
bin11001111100110001…
…11011001100011001
31022221220210210020012
430332120323030121
5212012443420233
610222231011305
71002144562145
oct147630731431
938856723205
1013931623193
1159aa046784
122849809b35
1314103bb127
14962398225
15568128548
hex33e63b319

13931623193 has 2 divisors, whose sum is σ = 13931623194. Its totient is φ = 13931623192.

The previous prime is 13931623187. The next prime is 13931623207. The reversal of 13931623193 is 39132613931.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12144701209 + 1786921984 = 110203^2 + 42272^2 .

It is a cyclic number.

It is not a de Polignac number, because 13931623193 - 24 = 13931623177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13931623193.

It is not a weakly prime, because it can be changed into another prime (13931623133) 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, 6965811596 + 6965811597.

It is an arithmetic number, because the mean of its divisors is an integer number (6965811597).

Almost surely, 213931623193 is an apocalyptic number.

It is an amenable number.

13931623193 is a deficient number, since it is larger than the sum of its proper divisors (1).

13931623193 is an equidigital number, since it uses as much as digits as its factorization.

13931623193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 78732, while the sum is 41.

The spelling of 13931623193 in words is "thirteen billion, nine hundred thirty-one million, six hundred twenty-three thousand, one hundred ninety-three".