Search a number
-
+
12200303040 = 263537973541
BaseRepresentation
bin10110101110011000…
…11101100111000000
31011111021000121110120
423113030131213000
5144441234144130
65334342500240
7611222602422
oct132714354700
934437017416
1012200303040
1151a0831282
122445a34680
1311c57c6a33
1483a47c812
154b6139910
hex2d731d9c0

12200303040 has 224 divisors, whose sum is σ = 40204363584. Its totient is φ = 3131965440.

The previous prime is 12200303039. The next prime is 12200303117. The reversal of 12200303040 is 4030300221.

12200303040 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 (15).

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 31 ways as a sum of consecutive naturals, for example, 3443670 + ... + 3447210.

It is an arithmetic number, because the mean of its divisors is an integer number (179483766).

Almost surely, 212200303040 is an apocalyptic number.

12200303040 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 12200303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20102181792).

12200303040 is an abundant number, since it is smaller than the sum of its proper divisors (28004060544).

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

12200303040 is a wasteful number, since it uses less digits than its factorization.

12200303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3695 (or 3685 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 12200303040 its reverse (4030300221), we get a palindrome (16230603261).

The spelling of 12200303040 in words is "twelve billion, two hundred million, three hundred three thousand, forty".