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12432034300 = 2252768326003
BaseRepresentation
bin10111001010000000…
…11100100111111100
31012002102001202222211
423211000130213330
5200430100044200
65413341350204
7620035355650
oct134500344774
935072052884
1012432034300
1152aa617414
1224ab568364
13123181101a
1485d160a60
154cb660aba
hex2e501c9fc

12432034300 has 72 divisors (see below), whose sum is σ = 30877773696. Its totient is φ = 4256007360.

The previous prime is 12432034297. The next prime is 12432034319. The reversal of 12432034300 is 343023421.

It is a happy number.

12432034300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 465099 + ... + 491101.

It is an arithmetic number, because the mean of its divisors is an integer number (428857968).

Almost surely, 212432034300 is an apocalyptic number.

12432034300 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 12432034300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15438886848).

12432034300 is an abundant number, since it is smaller than the sum of its proper divisors (18445739396).

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

12432034300 is a wasteful number, since it uses less digits than its factorization.

12432034300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26707 (or 26700 counting only the distinct ones).

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

Adding to 12432034300 its reverse (343023421), we get a palindrome (12775057721).

The spelling of 12432034300 in words is "twelve billion, four hundred thirty-two million, thirty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 683 700 1366 2732 3415 4781 6830 9562 13660 17075 19124 23905 26003 34150 47810 52006 68300 95620 104012 119525 130015 182021 239050 260030 364042 478100 520060 650075 728084 910105 1300150 1820210 2600300 3640420 4550525 9101050 17760049 18202100 35520098 71040196 88800245 124320343 177600490 248640686 355200980 444001225 497281372 621601715 888002450 1243203430 1776004900 2486406860 3108008575 6216017150 12432034300