Search a number
-
+
13303223010 = 232571117112921
BaseRepresentation
bin11000110001110111…
…10001001011100010
31021100010100202020100
430120323301023202
5204221111114020
610040022123230
7650444346510
oct143073611342
937303322210
1013303223010
115707360390
1226b3280516
13134015a7bc
14902b3b4b0
1552cd9aa90
hex318ef12e2

13303223010 has 192 divisors, whose sum is σ = 45660236544. Its totient is φ = 2601676800.

The previous prime is 13303222967. The next prime is 13303223029. The reversal of 13303223010 is 1032230331.

13303223010 is a `hidden beast` number, since 1 + 330 + 32 + 2 + 301 + 0 = 666.

13303223010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 61350 + ... + 174270.

It is an arithmetic number, because the mean of its divisors is an integer number (237813732).

Almost surely, 213303223010 is an apocalyptic number.

13303223010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13303223010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22830118272).

13303223010 is an abundant number, since it is smaller than the sum of its proper divisors (32357013534).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13303223010 is a wasteful number, since it uses less digits than its factorization.

13303223010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112969 (or 112966 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13303223010 its reverse (1032230331), we get a palindrome (14335453341).

The spelling of 13303223010 in words is "thirteen billion, three hundred three million, two hundred twenty-three thousand, ten".