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12300331323 = 37977599519
BaseRepresentation
bin10110111010010100…
…00010100100111011
31011202020020120110210
423131022002210323
5200142341100243
65352314442203
7613546043160
oct133512024473
934666216423
1012300331323
115242241a85
122473433363
13121044a377
1484987a067
154bece7933
hex2dd28293b

12300331323 has 16 divisors (see below), whose sum is σ = 18762577920. Its totient is φ = 7021554816.

The previous prime is 12300331289. The next prime is 12300331327. The reversal of 12300331323 is 32313300321.

12300331323 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12300331323 - 26 = 12300331259 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 12300331323.

It is not an unprimeable number, because it can be changed into a prime (12300331327) 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 15 ways as a sum of consecutive naturals, for example, 279243 + ... + 320276.

It is an arithmetic number, because the mean of its divisors is an integer number (1172661120).

Almost surely, 212300331323 is an apocalyptic number.

12300331323 is a deficient number, since it is larger than the sum of its proper divisors (6462246597).

12300331323 is an equidigital number, since it uses as much as digits as its factorization.

12300331323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600506.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 12300331323 its reverse (32313300321), we get a palindrome (44613631644).

The spelling of 12300331323 in words is "twelve billion, three hundred million, three hundred thirty-one thousand, three hundred twenty-three".

Divisors: 1 3 7 21 977 2931 6839 20517 599519 1798557 4196633 12589899 585730063 1757190189 4100110441 12300331323