Search a number
-
+
10254534241 = 72297216421
BaseRepresentation
bin10011000110011011…
…11100011001100001
3222110122201022110111
421203031330121201
5132000130043431
64413314131321
7512055050200
oct114315743141
928418638414
1010254534241
114392465396
121ba2280b41
13c75659953
146d3c9d237
154003da7b1
hex26337c661

10254534241 has 12 divisors (see below), whose sum is σ = 12340081620. Its totient is φ = 8486509920.

The previous prime is 10254534233. The next prime is 10254534247. The reversal of 10254534241 is 14243545201.

10254534241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1632483216 + 8622051025 = 40404^2 + 92855^2 .

It is not a de Polignac number, because 10254534241 - 23 = 10254534233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10254534247) 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 in 11 ways as a sum of consecutive naturals, for example, 3606790 + ... + 3609631.

It is an arithmetic number, because the mean of its divisors is an integer number (1028340135).

Almost surely, 210254534241 is an apocalyptic number.

It is an amenable number.

10254534241 is a deficient number, since it is larger than the sum of its proper divisors (2085547379).

10254534241 is an equidigital number, since it uses as much as digits as its factorization.

10254534241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7216464 (or 7216457 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The spelling of 10254534241 in words is "ten billion, two hundred fifty-four million, five hundred thirty-four thousand, two hundred forty-one".

Divisors: 1 7 29 49 203 1421 7216421 50514947 209276209 353604629 1464933463 10254534241