Search a number
-
+
13423124000 = 2553111331757
BaseRepresentation
bin11001000000001010…
…01001111000100000
31021122110222100110202
430200011021320200
5204442304432000
610055544044332
7653431446206
oct144005117040
937573870422
1013423124000
115769004810
1227274636a8
13135bc4b630
14914a2d076
15538681dd5
hex320149e20

13423124000 has 384 divisors, whose sum is σ = 40049178624. Its totient is φ = 4354560000.

The previous prime is 13423123997. The next prime is 13423124041. The reversal of 13423124000 is 42132431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17731622 + ... + 17732378.

It is an arithmetic number, because the mean of its divisors is an integer number (104294736).

Almost surely, 213423124000 is an apocalyptic number.

13423124000 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 13423124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20024589312).

13423124000 is an abundant number, since it is smaller than the sum of its proper divisors (26626054624).

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

13423124000 is a wasteful number, since it uses less digits than its factorization.

13423124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13423124000 its reverse (42132431), we get a palindrome (13465256431).

The spelling of 13423124000 in words is "thirteen billion, four hundred twenty-three million, one hundred twenty-four thousand".