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21332344221240 = 233513173895034111
BaseRepresentation
bin1001101100110110100101…
…10011001010111000111000
32210112100111202011122020220
410312123102303022320320
510244002120110034430
6113211535454420040
74331132243032353
oct466332263127070
983470452148226
1021332344221240
116884aa61a8388
122486426b01620
13bb982932c410
1453a6c331129a
1526ed835de110
hex1366d2ccae38

21332344221240 has 512 divisors, whose sum is σ = 73324868198400. Its totient is φ = 4918452387840.

The previous prime is 21332344221211. The next prime is 21332344221241. The reversal of 21332344221240 is 4212244323312.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21332344221241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5189086785 + ... + 5189090895.

It is an arithmetic number, because the mean of its divisors is an integer number (143212633200).

Almost surely, 221332344221240 is an apocalyptic number.

21332344221240 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 21332344221240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36662434099200).

21332344221240 is an abundant number, since it is smaller than the sum of its proper divisors (51992523977160).

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

21332344221240 is a wasteful number, since it uses less digits than its factorization.

21332344221240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5047 (or 5043 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 21332344221240 its reverse (4212244323312), we get a palindrome (25544588544552).

The spelling of 21332344221240 in words is "twenty-one trillion, three hundred thirty-two billion, three hundred forty-four million, two hundred twenty-one thousand, two hundred forty".