Search a number
-
+
185055131 is a prime number
BaseRepresentation
bin10110000011110…
…11011110011011
3110220012202220202
423001323132123
5334333231011
630210212415
74404641222
oct1301733633
9426182822
10185055131
1195505728
1251b8410b
132c453aa1
141a811cb9
15113a623b
hexb07b79b

185055131 has 2 divisors, whose sum is σ = 185055132. Its totient is φ = 185055130.

The previous prime is 185055103. The next prime is 185055133. The reversal of 185055131 is 131550581.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 185055131 - 26 = 185055067 is a prime.

It is a super-2 number, since 2×1850551312 = 68490803018854322, which contains 22 as substring.

Together with 185055133, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p10295840 and since 185055131 and 10295840 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 185055094 and 185055103.

It is not a weakly prime, because it can be changed into another prime (185055133) 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, 92527565 + 92527566.

It is an arithmetic number, because the mean of its divisors is an integer number (92527566).

Almost surely, 2185055131 is an apocalyptic number.

185055131 is a deficient number, since it is larger than the sum of its proper divisors (1).

185055131 is an equidigital number, since it uses as much as digits as its factorization.

185055131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3000, while the sum is 29.

The square root of 185055131 is about 13603.4970136359. The cubic root of 185055131 is about 569.8585172598.

The spelling of 185055131 in words is "one hundred eighty-five million, fifty-five thousand, one hundred thirty-one".