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20021221920 = 2535710158997
BaseRepresentation
bin10010101001010110…
…111001101000100000
31220200022110110020210
4102221112321220200
5312000413100140
613110404134120
71306100402250
oct225126715040
956608413223
1020021221920
1185445043a7
123a69097340
131b70bc829b
14d7d04b960
157c2a5dd80
hex4a95b9a20

20021221920 has 192 divisors, whose sum is σ = 72791260416. Its totient is φ = 4530892800.

The previous prime is 20021221901. The next prime is 20021221921. The reversal of 20021221920 is 2912212002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (20021221921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309862 + ... + 368858.

It is an arithmetic number, because the mean of its divisors is an integer number (379121148).

Almost surely, 220021221920 is an apocalyptic number.

20021221920 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 20021221920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36395630208).

20021221920 is an abundant number, since it is smaller than the sum of its proper divisors (52770038496).

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

20021221920 is a wasteful number, since it uses less digits than its factorization.

20021221920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59123 (or 59115 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 20021221920 its reverse (2912212002), we get a palindrome (22933433922).

The spelling of 20021221920 in words is "twenty billion, twenty-one million, two hundred twenty-one thousand, nine hundred twenty".