Search a number
-
+
12303303012 = 2232711132961193
BaseRepresentation
bin10110111010101010…
…11000000101100100
31011202102211112212100
423131111120011210
5200144121144022
65352502252100
7613613231040
oct133525300544
934672745770
1012303303012
115243991720
122474427030
131210c4ab70
1484a011020
154c01d31ac
hex2dd558164

12303303012 has 576 divisors, whose sum is σ = 44132175360. Its totient is φ = 2786918400.

The previous prime is 12303303007. The next prime is 12303303013. The reversal of 12303303012 is 21030330321.

12303303012 is a `hidden beast` number, since 1 + 2 + 30 + 330 + 301 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12303303013) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63747588 + ... + 63747780.

It is an arithmetic number, because the mean of its divisors is an integer number (76618360).

Almost surely, 212303303012 is an apocalyptic number.

12303303012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12303303012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22066087680).

12303303012 is an abundant number, since it is smaller than the sum of its proper divisors (31828872348).

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

12303303012 is a wasteful number, since it uses less digits than its factorization.

12303303012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 319 counting only the distinct ones).

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

Adding to 12303303012 its reverse (21030330321), we get a palindrome (33333633333).

The spelling of 12303303012 in words is "twelve billion, three hundred three million, three hundred three thousand, twelve".