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12005313630 = 235400177121
BaseRepresentation
bin10110010111001001…
…01000110001011110
31010222200010010021120
423023210220301132
5144041330014010
65303135311410
7603334324242
oct131344506136
933880103246
1012005313630
115100760902
1223b067b566
1311942a529b
1481c602422
154a3e6ee70
hex2cb928c5e

12005313630 has 16 divisors (see below), whose sum is σ = 28812752784. Its totient is φ = 3201416960.

The previous prime is 12005313613. The next prime is 12005313637. The reversal of 12005313630 is 3631350021.

It is a happy number.

12005313630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12005313630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12005313637) 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, 200088531 + ... + 200088590.

It is an arithmetic number, because the mean of its divisors is an integer number (1800797049).

Almost surely, 212005313630 is an apocalyptic number.

12005313630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12005313630 is an abundant number, since it is smaller than the sum of its proper divisors (16807439154).

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

12005313630 is a wasteful number, since it uses less digits than its factorization.

12005313630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400177131.

The product of its (nonzero) digits is 1620, while the sum is 24.

Adding to 12005313630 its reverse (3631350021), we get a palindrome (15636663651).

The spelling of 12005313630 in words is "twelve billion, five million, three hundred thirteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 400177121 800354242 1200531363 2000885605 2401062726 4001771210 6002656815 12005313630