Search a number
-
+
104035688831 is a prime number
BaseRepresentation
bin110000011100100000…
…0101010000101111111
3100221112102111120120102
41200321000222011333
53201031114020311
6115443205511315
710342046523104
oct1407100520577
9327472446512
10104035688831
1140137485928
12181b541253b
139a6c9485b9
14506d024aab
152a8d6ae43b
hex183902a17f

104035688831 has 2 divisors, whose sum is σ = 104035688832. Its totient is φ = 104035688830.

The previous prime is 104035688821. The next prime is 104035688833. The reversal of 104035688831 is 138886530401.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-104035688831 is a prime.

It is a super-2 number, since 2×1040356888312 (a number of 23 digits) contains 22 as substring.

Together with 104035688833, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (104035688833) 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, 52017844415 + 52017844416.

It is an arithmetic number, because the mean of its divisors is an integer number (52017844416).

Almost surely, 2104035688831 is an apocalyptic number.

104035688831 is a deficient number, since it is larger than the sum of its proper divisors (1).

104035688831 is an equidigital number, since it uses as much as digits as its factorization.

104035688831 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 552960, while the sum is 47.

The spelling of 104035688831 in words is "one hundred four billion, thirty-five million, six hundred eighty-eight thousand, eight hundred thirty-one".