Search a number
-
+
21221535303324 = 22347910119342533
BaseRepresentation
bin1001101001101000001100…
…00100101100011010011100
32210010202111021122101010000
410310310012010230122130
510240143201014201244
6113045012211014300
74320130266543546
oct464640604543234
983122437571100
1021221535303324
116842003486274
122468a6129a390
13bac24a379475
145351b0920696
1526c04a4ac169
hex134d0612c69c

21221535303324 has 240 divisors, whose sum is σ = 57031070785920. Its totient is φ = 6879159705600.

The previous prime is 21221535303239. The next prime is 21221535303329. The reversal of 21221535303324 is 42330353512212.

21221535303324 is a `hidden beast` number, since 2 + 1 + 2 + 21 + 5 + 3 + 5 + 303 + 324 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221535303329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 498921562 + ... + 498964094.

It is an arithmetic number, because the mean of its divisors is an integer number (237629461608).

Almost surely, 221221535303324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21221535303324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28515535392960).

21221535303324 is an abundant number, since it is smaller than the sum of its proper divisors (35809535482596).

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

21221535303324 is a wasteful number, since it uses less digits than its factorization.

21221535303324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42922 (or 42911 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 21221535303324 its reverse (42330353512212), we get a palindrome (63551888815536).

The spelling of 21221535303324 in words is "twenty-one trillion, two hundred twenty-one billion, five hundred thirty-five million, three hundred three thousand, three hundred twenty-four".