Search a number
-
+
104424120312131 is a prime number
BaseRepresentation
bin10111101111100100100010…
…100110001110000101000011
3111200201211220111012102010102
4113233210202212032011003
5102141341044244442011
61010031440102553015
730665252022261164
oct2757444246160503
9450654814172112
10104424120312131
11303000256486a4
12b86611673876b
1346361c9782049
141bb022390b76b
15c1149e9cc73b
hex5ef92298e143

104424120312131 has 2 divisors, whose sum is σ = 104424120312132. Its totient is φ = 104424120312130.

The previous prime is 104424120312119. The next prime is 104424120312137. The reversal of 104424120312131 is 131213021424401.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-104424120312131 is a prime.

It is a super-2 number, since 2×1044241203121312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104424120312094 and 104424120312103.

It is not a weakly prime, because it can be changed into another prime (104424120312137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52212060156065 + 52212060156066.

It is an arithmetic number, because the mean of its divisors is an integer number (52212060156066).

Almost surely, 2104424120312131 is an apocalyptic number.

104424120312131 is a deficient number, since it is larger than the sum of its proper divisors (1).

104424120312131 is an equidigital number, since it uses as much as digits as its factorization.

104424120312131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 104424120312131 its reverse (131213021424401), we get a palindrome (235637141736532).

The spelling of 104424120312131 in words is "one hundred four trillion, four hundred twenty-four billion, one hundred twenty million, three hundred twelve thousand, one hundred thirty-one".