Search a number
-
+
21231331200 = 273452101811
BaseRepresentation
bin10011110001011111…
…000110011110000000
32000210122111101010000
4103301133012132000
5321440210044300
613430433040000
71351063223532
oct236137063600
960718441100
1021231331200
119005595412
1241463b6000
13200481bc91
141055a4d852
15843de4c00
hex4f17c6780

21231331200 has 480 divisors, whose sum is σ = 79221570120. Its totient is φ = 5598720000.

The previous prime is 21231331183. The next prime is 21231331223. The reversal of 21231331200 is 213313212.

It is a tau number, because it is divible by the number of its divisors (480).

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

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 59 ways as a sum of consecutive naturals, for example, 26178795 + ... + 26179605.

Almost surely, 221231331200 is an apocalyptic number.

21231331200 is a gapful number since it is divisible by the number (20) 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 21231331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39610785060).

21231331200 is an abundant number, since it is smaller than the sum of its proper divisors (57990238920).

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

21231331200 is a wasteful number, since it uses less digits than its factorization.

21231331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21231331200 its reverse (213313212), we get a palindrome (21444644412).

The spelling of 21231331200 in words is "twenty-one billion, two hundred thirty-one million, three hundred thirty-one thousand, two hundred".