Search a number
-
+
12422400330 = 2354757715269
BaseRepresentation
bin10111001000110111…
…01100100101001010
31012001201221022200010
423210123230211022
5200420113302310
65412355052350
7616560442404
oct134433544512
935051838603
1012422400330
1152a513725a
1224a82a10b6
13122c819c52
1485bb73b74
154ca8ab320
hex2e46ec94a

12422400330 has 64 divisors (see below), whose sum is σ = 30502863360. Its totient is φ = 3236327424.

The previous prime is 12422400329. The next prime is 12422400371. The reversal of 12422400330 is 3300422421.

12422400330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12422400297 and 12422400306.

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 31 ways as a sum of consecutive naturals, for example, 805936 + ... + 821204.

It is an arithmetic number, because the mean of its divisors is an integer number (476607240).

Almost surely, 212422400330 is an apocalyptic number.

12422400330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12422400330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15251431680).

12422400330 is an abundant number, since it is smaller than the sum of its proper divisors (18080463030).

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

12422400330 is a wasteful number, since it uses less digits than its factorization.

12422400330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15903.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 12422400330 its reverse (3300422421), we get a palindrome (15722822751).

The spelling of 12422400330 in words is "twelve billion, four hundred twenty-two million, four hundred thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 470 577 705 1154 1410 1731 2885 3462 5770 8655 15269 17310 27119 30538 45807 54238 76345 81357 91614 135595 152690 162714 229035 271190 406785 458070 717643 813570 1435286 2152929 3588215 4305858 7176430 8810213 10764645 17620426 21529290 26430639 44051065 52861278 88102130 132153195 264306390 414080011 828160022 1242240033 2070400055 2484480066 4140800110 6211200165 12422400330