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21220213213320 = 23351124213471371
BaseRepresentation
bin1001101001100101101110…
…10001010100100010001000
32210010122002010220020120120
410310302313101110202020
510240132444040311240
6113044233102023240
74320052444141002
oct464626721244210
983118063806516
1021220213213320
116841495170500
122468752577b20
13bac0994a89a4
145350c70cd372
1526bebe3a6ad0
hex134cb7454888

21220213213320 has 192 divisors, whose sum is σ = 70140320953920. Its totient is φ = 5132073408000.

The previous prime is 21220213213307. The next prime is 21220213213337. The reversal of 21220213213320 is 2331231202212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4377235 + ... + 7848605.

It is an arithmetic number, because the mean of its divisors is an integer number (365314171635).

Almost surely, 221220213213320 is an apocalyptic number.

21220213213320 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 21220213213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35070160476960).

21220213213320 is an abundant number, since it is smaller than the sum of its proper divisors (48920107740600).

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

21220213213320 is a wasteful number, since it uses less digits than its factorization.

21220213213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3471828 (or 3471813 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 21220213213320 its reverse (2331231202212), we get a palindrome (23551444415532).

The spelling of 21220213213320 in words is "twenty-one trillion, two hundred twenty billion, two hundred thirteen million, two hundred thirteen thousand, three hundred twenty".