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21382270140 = 22357311293257
BaseRepresentation
bin10011111010011110…
…111000110010111100
32001012011111212102010
4103322132320302330
5322242330121030
613453424131220
71354605204000
oct237236706274
961164455363
1021382270140
119082809040
124188a66b10
132029b8936a
14106bb00700
158522ac6b0
hex4fa7b8cbc

21382270140 has 384 divisors, whose sum is σ = 78817536000. Its totient is φ = 4288542720.

The previous prime is 21382270097. The next prime is 21382270177. The reversal of 21382270140 is 4107228312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 21382270098 and 21382270107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6563392 + ... + 6566648.

It is an arithmetic number, because the mean of its divisors is an integer number (205254000).

Almost surely, 221382270140 is an apocalyptic number.

21382270140 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 21382270140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39408768000).

21382270140 is an abundant number, since it is smaller than the sum of its proper divisors (57435265860).

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

21382270140 is a wasteful number, since it uses less digits than its factorization.

21382270140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3330 (or 3314 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

Adding to 21382270140 its reverse (4107228312), we get a palindrome (25489498452).

The spelling of 21382270140 in words is "twenty-one billion, three hundred eighty-two million, two hundred seventy thousand, one hundred forty".