Search a number
-
+
10254243033 = 3614066177
BaseRepresentation
bin10011000110011001…
…10101010011011001
3222110122011112000000
421203030311103121
5132000041234113
64413304003213
7512052425166
oct114314652331
928418145000
1010254243033
114392286621
121ba2160509
13c75587238
146d3c2506d
1540037e373
hex2633354d9

10254243033 has 14 divisors (see below), whose sum is σ = 15374332554. Its totient is φ = 6836161536.

The previous prime is 10254242989. The next prime is 10254243037. The reversal of 10254243033 is 33034245201.

10254243033 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 only one way, i.e., 8833556169 + 1420686864 = 93987^2 + 37692^2 .

It is not a de Polignac number, because 10254243033 - 221 = 10252145881 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10254242988 and 10254243006.

It is not an unprimeable number, because it can be changed into a prime (10254243037) 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 13 ways as a sum of consecutive naturals, for example, 7032360 + ... + 7033817.

It is an arithmetic number, because the mean of its divisors is an integer number (1098166611).

Almost surely, 210254243033 is an apocalyptic number.

It is an amenable number.

10254243033 is a deficient number, since it is larger than the sum of its proper divisors (5120089521).

10254243033 is an frugal number, since it uses more digits than its factorization.

10254243033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14066195 (or 14066180 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 10254243033 its reverse (33034245201), we get a palindrome (43288488234).

The spelling of 10254243033 in words is "ten billion, two hundred fifty-four million, two hundred forty-three thousand, thirty-three".

Divisors: 1 3 9 27 81 243 729 14066177 42198531 126595593 379786779 1139360337 3418081011 10254243033