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12423034300 = 2252617432741
BaseRepresentation
bin10111001000111100…
…00111010110111100
31012001210010112022111
423210132013112330
5200420244044200
65412420423404
7616566022615
oct134436072674
935053115274
1012423034300
1152a552a5a6
1224a8547b64
13122c9ac691
1485bc9ac0c
154ca9840ba
hex2e47875bc

12423034300 has 72 divisors (see below), whose sum is σ = 27446805792. Its totient is φ = 4879392000.

The previous prime is 12423034289. The next prime is 12423034301. The reversal of 12423034300 is 343032421.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12423034301) 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 23 ways as a sum of consecutive naturals, for example, 4530930 + ... + 4533670.

It is an arithmetic number, because the mean of its divisors is an integer number (381205636).

Almost surely, 212423034300 is an apocalyptic number.

12423034300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12423034300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13723402896).

12423034300 is an abundant number, since it is smaller than the sum of its proper divisors (15023771492).

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

12423034300 is a wasteful number, since it uses less digits than its factorization.

12423034300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3559 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 12423034300 its reverse (343032421), we get a palindrome (12766066721).

The spelling of 12423034300 in words is "twelve billion, four hundred twenty-three million, thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 743 1220 1486 1525 2741 2972 3050 3715 5482 6100 7430 10964 13705 14860 18575 27410 37150 45323 54820 68525 74300 90646 137050 167201 181292 226615 274100 334402 453230 668804 836005 906460 1133075 1672010 2036563 2266150 3344020 4073126 4180025 4532300 8146252 8360050 10182815 16720100 20365630 40731260 50914075 101828150 124230343 203656300 248460686 496921372 621151715 1242303430 2484606860 3105758575 6211517150 12423034300