Search a number
-
+
181144723307 is a prime number
BaseRepresentation
bin1010100010110100010…
…0010001111101101011
3122022120021202101102012
42220231010101331223
510431441022121212
6215114452030135
716041635512562
oct2505504217553
9568507671365
10181144723307
116a9065237a9
122b13500234b
131410ab53912
148aa5c5abd9
154aa2e75922
hex2a2d111f6b

181144723307 has 2 divisors, whose sum is σ = 181144723308. Its totient is φ = 181144723306.

The previous prime is 181144723231. The next prime is 181144723349. The reversal of 181144723307 is 703327441181.

It is a happy number.

181144723307 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 181144723307 - 220 = 181143674731 is a prime.

It is not a weakly prime, because it can be changed into another prime (181144723007) 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, 90572361653 + 90572361654.

It is an arithmetic number, because the mean of its divisors is an integer number (90572361654).

Almost surely, 2181144723307 is an apocalyptic number.

181144723307 is a deficient number, since it is larger than the sum of its proper divisors (1).

181144723307 is an equidigital number, since it uses as much as digits as its factorization.

181144723307 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112896, while the sum is 41.

The spelling of 181144723307 in words is "one hundred eighty-one billion, one hundred forty-four million, seven hundred twenty-three thousand, three hundred seven".