Search a number
-
+
12300132201 = 371930827399
BaseRepresentation
bin10110111010010010…
…10001111101101001
31011202012212110022220
423131021101331221
5200142313212301
65352310304253
7613544253510
oct133511217551
934665773286
1012300132201
115242116415
122473358089
1312103aa846
14849827677
154beca8936
hex2dd251f69

12300132201 has 16 divisors (see below), whose sum is σ = 19729536000. Its totient is φ = 6658717968.

The previous prime is 12300132199. The next prime is 12300132223. The reversal of 12300132201 is 10223100321.

It is not a de Polignac number, because 12300132201 - 21 = 12300132199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12300132001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15413301 + ... + 15414098.

It is an arithmetic number, because the mean of its divisors is an integer number (1233096000).

Almost surely, 212300132201 is an apocalyptic number.

It is an amenable number.

12300132201 is a deficient number, since it is larger than the sum of its proper divisors (7429403799).

12300132201 is a wasteful number, since it uses less digits than its factorization.

12300132201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30827428.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12300132201 its reverse (10223100321), we get a palindrome (22523232522).

The spelling of 12300132201 in words is "twelve billion, three hundred million, one hundred thirty-two thousand, two hundred one".

Divisors: 1 3 7 19 21 57 133 399 30827399 92482197 215791793 585720581 647375379 1757161743 4100044067 12300132201