Search a number
-
+
181401318909353 is a prime number
BaseRepresentation
bin101001001111101111001001…
…001011001110010110101001
3212210021210111210220212220002
4221033233021023032112221
5142234034400120044403
61441450340534512345
753131545534420464
oct5117571113162651
9783253453825802
10181401318909353
115288895a446734
121841895a8056b5
137a2b0bcc0ab5a
1432b1c292162db
1515e89e8041188
hexa4fbc92ce5a9

181401318909353 has 2 divisors, whose sum is σ = 181401318909354. Its totient is φ = 181401318909352.

The previous prime is 181401318909311. The next prime is 181401318909361. The reversal of 181401318909353 is 353909813104181.

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., 99098102768809 + 82303216140544 = 9954803^2 + 9072112^2 .

It is a cyclic number.

It is not a de Polignac number, because 181401318909353 - 230 = 181400245167529 is a prime.

It is not a weakly prime, because it can be changed into another prime (181401318309353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90700659454676 + 90700659454677.

It is an arithmetic number, because the mean of its divisors is an integer number (90700659454677).

Almost surely, 2181401318909353 is an apocalyptic number.

It is an amenable number.

181401318909353 is a deficient number, since it is larger than the sum of its proper divisors (1).

181401318909353 is an equidigital number, since it uses as much as digits as its factorization.

181401318909353 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2799360, while the sum is 56.

The spelling of 181401318909353 in words is "one hundred eighty-one trillion, four hundred one billion, three hundred eighteen million, nine hundred nine thousand, three hundred fifty-three".