Search a number
-
+
13223112000 = 263537312539
BaseRepresentation
bin11000101000010100…
…01010110101000000
31021010112121200120220
430110022022311000
5204040104041000
610024041103040
7645452411640
oct142412126500
937115550526
1013223112000
11567611383a
122690487a80
13132968ba37
148d6246520
15525d241a0
hex31428ad40

13223112000 has 448 divisors, whose sum is σ = 51530219520. Its totient is φ = 2923776000.

The previous prime is 13223111939. The next prime is 13223112011. The reversal of 13223112000 is 21132231.

It is a tau number, because it is divible by the number of its divisors (448).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5206731 + ... + 5209269.

Almost surely, 213223112000 is an apocalyptic number.

13223112000 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 13223112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25765109760).

13223112000 is an abundant number, since it is smaller than the sum of its proper divisors (38307107520).

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

13223112000 is a wasteful number, since it uses less digits than its factorization.

13223112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2607 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13223112000 its reverse (21132231), we get a palindrome (13244244231).

The spelling of 13223112000 in words is "thirteen billion, two hundred twenty-three million, one hundred twelve thousand".