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12321300042 = 233228172223
BaseRepresentation
bin10110111100110100…
…00001111001001010
31011210200200220011000
423132122001321022
5200213223100132
65354344115430
7614222215362
oct133632017112
934720626130
1012321300042
1152530640a7
12247a465b76
1312148ac6ac
1484c5779a2
154c1a8a87c
hex2de681e4a

12321300042 has 16 divisors (see below), whose sum is σ = 27380666880. Its totient is φ = 4107099996.

The previous prime is 12321300041. The next prime is 12321300049. The reversal of 12321300042 is 24000312321.

12321300042 is a `hidden beast` number, since 1 + 2 + 321 + 300 + 0 + 42 = 666.

12321300042 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 a junction number, because it is equal to n+sod(n) for n = 12321299988 and 12321300024.

It is not an unprimeable number, because it can be changed into a prime (12321300041) 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 7 ways as a sum of consecutive naturals, for example, 114086058 + ... + 114086165.

It is an arithmetic number, because the mean of its divisors is an integer number (1711291680).

Almost surely, 212321300042 is an apocalyptic number.

12321300042 is an abundant number, since it is smaller than the sum of its proper divisors (15059366838).

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

12321300042 is a wasteful number, since it uses less digits than its factorization.

12321300042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228172234 (or 228172228 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12321300042 its reverse (24000312321), we get a palindrome (36321612363).

The spelling of 12321300042 in words is "twelve billion, three hundred twenty-one million, three hundred thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 228172223 456344446 684516669 1369033338 2053550007 4107100014 6160650021 12321300042