Search a number
-
+
12300144012 = 22321337676977
BaseRepresentation
bin10110111010010010…
…10100110110001100
31011202012220001112100
423131021110312030
5200142314102022
65352310435100
7613544333112
oct133511246614
934665801470
1012300144012
115242124282
122473362a90
1312103b3030
1484982bab2
154becac1ac
hex2dd254d8c

12300144012 has 72 divisors (see below), whose sum is σ = 33497414496. Its totient is φ = 3783112704.

The previous prime is 12300143993. The next prime is 12300144037. The reversal of 12300144012 is 21044100321.

12300144012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123001440122 (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1759468 + ... + 1766444.

It is an arithmetic number, because the mean of its divisors is an integer number (465241868).

Almost surely, 212300144012 is an apocalyptic number.

12300144012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12300144012 is an abundant number, since it is smaller than the sum of its proper divisors (21197270484).

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

12300144012 is a wasteful number, since it uses less digits than its factorization.

12300144012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10767 (or 10762 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12300144012 its reverse (21044100321), we get a palindrome (33344244333).

The spelling of 12300144012 in words is "twelve billion, three hundred million, one hundred forty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 3767 6977 7534 11301 13954 15068 20931 22602 27908 33903 41862 45204 48971 62793 67806 83724 90701 97942 125586 135612 146913 181402 195884 251172 272103 293826 362804 440739 544206 587652 816309 881478 1088412 1632618 1762956 3265236 26282359 52564718 78847077 105129436 157694154 236541231 315388308 341670667 473082462 683341334 946164924 1025012001 1366682668 2050024002 3075036003 4100048004 6150072006 12300144012