Search a number
-
+
138259153324333 is a prime number
BaseRepresentation
bin11111011011111011110111…
…101110001000100100101101
3200010112110001010002121012201
4133123323313232020210231
5121110214221222334313
61210015213405101501
741056615464505366
oct3733736756104455
9603473033077181
10138259153324333
1140065417708768
121360b672857891
135c1ba226ac572
14261dac8b76b6d
1510eb687bde0dd
hex7dbef7b8892d

138259153324333 has 2 divisors, whose sum is σ = 138259153324334. Its totient is φ = 138259153324332.

The previous prime is 138259153324291. The next prime is 138259153324441. The reversal of 138259153324333 is 333423351952831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 125391127961124 + 12868025363209 = 11197818^2 + 3587203^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-138259153324333 is a prime.

It is a super-2 number, since 2×1382591533243332 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (138259153334333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69129576662166 + 69129576662167.

It is an arithmetic number, because the mean of its divisors is an integer number (69129576662167).

Almost surely, 2138259153324333 is an apocalyptic number.

It is an amenable number.

138259153324333 is a deficient number, since it is larger than the sum of its proper divisors (1).

138259153324333 is an equidigital number, since it uses as much as digits as its factorization.

138259153324333 is an evil number, because the sum of its binary digits is even.

The product of its digits is 20995200, while the sum is 55.

The spelling of 138259153324333 in words is "one hundred thirty-eight trillion, two hundred fifty-nine billion, one hundred fifty-three million, three hundred twenty-four thousand, three hundred thirty-three".