Search a number
-
+
104112040037 is a prime number
BaseRepresentation
bin110000011110110001…
…1111010100001100101
3100221201202011121201212
41200331203322201211
53201210140240122
6115454534201205
710343664511265
oct1407543724145
9327652147655
10104112040037
11401765946a5
1218216ab3205
139a826cbc25
14507921b7a5
152a95241ce2
hex183d8fa865

104112040037 has 2 divisors, whose sum is σ = 104112040038. Its totient is φ = 104112040036.

The previous prime is 104112040013. The next prime is 104112040057. The reversal of 104112040037 is 730040211401.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100904063716 + 3207976321 = 317654^2 + 56639^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-104112040037 is a prime.

It is a super-2 number, since 2×1041120400372 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104112039994 and 104112040021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (104112040057) 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, 52056020018 + 52056020019.

It is an arithmetic number, because the mean of its divisors is an integer number (52056020019).

Almost surely, 2104112040037 is an apocalyptic number.

It is an amenable number.

104112040037 is a deficient number, since it is larger than the sum of its proper divisors (1).

104112040037 is an equidigital number, since it uses as much as digits as its factorization.

104112040037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 23.

Adding to 104112040037 its reverse (730040211401), we get a palindrome (834152251438).

The spelling of 104112040037 in words is "one hundred four billion, one hundred twelve million, forty thousand, thirty-seven".