Search a number
-
+
10515544241 is a prime number
BaseRepresentation
bin10011100101100011…
…00111100010110001
31000010211211222212112
421302301213202301
5133013434403431
64455240335105
7521404436246
oct116261474261
930124758775
1010515544241
114506829034
122055774495
13cb7755837
1471a8035cd
15418296c2b
hex272c678b1

10515544241 has 2 divisors, whose sum is σ = 10515544242. Its totient is φ = 10515544240.

The previous prime is 10515544213. The next prime is 10515544253. The reversal of 10515544241 is 14244551501.

It is a happy number.

10515544241 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 can be written as a sum of positive squares in only one way, i.e., 10510350400 + 5193841 = 102520^2 + 2279^2 .

It is a cyclic number.

It is not a de Polignac number, because 10515544241 - 214 = 10515527857 is a prime.

It is a super-2 number, since 2×105155442412 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10515544198 and 10515544207.

It is not a weakly prime, because it can be changed into another prime (10515544541) 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, 5257772120 + 5257772121.

It is an arithmetic number, because the mean of its divisors is an integer number (5257772121).

Almost surely, 210515544241 is an apocalyptic number.

It is an amenable number.

10515544241 is a deficient number, since it is larger than the sum of its proper divisors (1).

10515544241 is an equidigital number, since it uses as much as digits as its factorization.

10515544241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16000, while the sum is 32.

The spelling of 10515544241 in words is "ten billion, five hundred fifteen million, five hundred forty-four thousand, two hundred forty-one".