Search a number
-
+
12400303104 = 2103271671151
BaseRepresentation
bin10111000110001110…
…11001110000000000
31012000012100122222100
423203013121300000
5200343434144404
65410245310400
7616201560120
oct134307316000
935005318870
1012400303104
115293714292
1224a0a05400
131228081077
14858c60c80
154c8993d39
hex2e31d9c00

12400303104 has 264 divisors, whose sum is σ = 41201491968. Its totient is φ = 3518668800.

The previous prime is 12400303079. The next prime is 12400303109. The reversal of 12400303104 is 40130300421.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12400303109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10772929 + ... + 10774079.

Almost surely, 212400303104 is an apocalyptic number.

12400303104 is a gapful number since it is divisible by the number (14) 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 12400303104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20600745984).

12400303104 is an abundant number, since it is smaller than the sum of its proper divisors (28801188864).

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

12400303104 is a wasteful number, since it uses less digits than its factorization.

12400303104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12400303104 its reverse (40130300421), we get a palindrome (52530603525).

The spelling of 12400303104 in words is "twelve billion, four hundred million, three hundred three thousand, one hundred four".