Search a number
-
+
11014664312381 is a prime number
BaseRepresentation
bin1010000001001000110100…
…1001110101011000111101
31102222222202220010221011012
42200102031021311120331
52420431013030444011
635232022242405005
72214532435605542
oct240221511653075
942888686127135
1011014664312381
113567324941944
12129a870960765
1361b8a8558582
142a1180d76bc9
151417b3cb0a8b
hexa048d27563d

11014664312381 has 2 divisors, whose sum is σ = 11014664312382. Its totient is φ = 11014664312380.

The previous prime is 11014664312317. The next prime is 11014664312383. The reversal of 11014664312381 is 18321346641011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10045945777156 + 968718535225 = 3169534^2 + 984235^2 .

It is a cyclic number.

It is not a de Polignac number, because 11014664312381 - 26 = 11014664312317 is a prime.

It is a super-2 number, since 2×110146643123812 (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 11014664312383, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11014664312383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5507332156190 + 5507332156191.

It is an arithmetic number, because the mean of its divisors is an integer number (5507332156191).

Almost surely, 211014664312381 is an apocalyptic number.

It is an amenable number.

11014664312381 is a deficient number, since it is larger than the sum of its proper divisors (1).

11014664312381 is an equidigital number, since it uses as much as digits as its factorization.

11014664312381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 82944, while the sum is 41.

The spelling of 11014664312381 in words is "eleven trillion, fourteen billion, six hundred sixty-four million, three hundred twelve thousand, three hundred eighty-one".