Search a number
-
+
10643114042441 is a prime number
BaseRepresentation
bin1001101011100000101100…
…0010000010010001001001
31101200110201220202120222022
42122320023002002101021
52343334044143324231
634345213514534225
72145640200455126
oct232701302022111
941613656676868
1010643114042441
1134337a0458851
12123a859437375
135c284506bb3a
1428b1b539174d
15136cb9d66c7b
hex9ae0b082449

10643114042441 has 2 divisors, whose sum is σ = 10643114042442. Its totient is φ = 10643114042440.

The previous prime is 10643114042387. The next prime is 10643114042443. The reversal of 10643114042441 is 14424041134601.

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., 5623703959225 + 5019410083216 = 2371435^2 + 2240404^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10643114042441 is a prime.

It is a super-2 number, since 2×106431140424412 (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 10643114042443, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10643114042443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5321557021220 + 5321557021221.

It is an arithmetic number, because the mean of its divisors is an integer number (5321557021221).

Almost surely, 210643114042441 is an apocalyptic number.

It is an amenable number.

10643114042441 is a deficient number, since it is larger than the sum of its proper divisors (1).

10643114042441 is an equidigital number, since it uses as much as digits as its factorization.

10643114042441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36864, while the sum is 35.

The spelling of 10643114042441 in words is "ten trillion, six hundred forty-three billion, one hundred fourteen million, forty-two thousand, four hundred forty-one".