Search a number
-
+
13003243200 = 263352232569
BaseRepresentation
bin11000001110000110…
…11011111011000000
31020120012220012022000
430013003123323000
5203112312240300
65550144344000
7640142513013
oct140703337300
936505805260
1013003243200
115572aa0092
12262a915000
1312c2c68c5c
148b4d7137a
15511892c00
hex3070dbec0

13003243200 has 504 divisors, whose sum is σ = 49639270800. Its totient is φ = 3310940160.

The previous prime is 13003243171. The next prime is 13003243217. The reversal of 13003243200 is 234230031.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22852516 + ... + 22853084.

Almost surely, 213003243200 is an apocalyptic number.

13003243200 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 13003243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24819635400).

13003243200 is an abundant number, since it is smaller than the sum of its proper divisors (36636027600).

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

13003243200 is a wasteful number, since it uses less digits than its factorization.

13003243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 13003243200 its reverse (234230031), we get a palindrome (13237473231).

The spelling of 13003243200 in words is "thirteen billion, three million, two hundred forty-three thousand, two hundred".