Search a number
-
+
10232233009 = 29683351637
BaseRepresentation
bin10011000011110001…
…10111110000110001
3222102002202021220221
421201320313300301
5131423422424014
64411200133041
7511364355055
oct114170676061
928362667827
1010232233009
114380913119
121b96907181
13c70b4bc5b
146d0d35c65
153ed482b24
hex261e37c31

10232233009 has 8 divisors (see below), whose sum is σ = 10586822760. Its totient is φ = 9877760256.

The previous prime is 10232233007. The next prime is 10232233013. The reversal of 10232233009 is 90033223201.

10232233009 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 4 ways, for example, as 102414400 + 10129818609 = 10120^2 + 100647^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10232233009 - 21 = 10232233007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10232233007) 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 7 ways as a sum of consecutive naturals, for example, 172339 + ... + 223975.

It is an arithmetic number, because the mean of its divisors is an integer number (1323352845).

Almost surely, 210232233009 is an apocalyptic number.

It is an amenable number.

10232233009 is a deficient number, since it is larger than the sum of its proper divisors (354589751).

10232233009 is an equidigital number, since it uses as much as digits as its factorization.

10232233009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58499.

The product of its (nonzero) digits is 1944, while the sum is 25.

The spelling of 10232233009 in words is "ten billion, two hundred thirty-two million, two hundred thirty-three thousand, nine".

Divisors: 1 29 6833 51637 198157 1497473 352835621 10232233009