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20110221120 = 2635112382799
BaseRepresentation
bin10010101110101010…
…011001111101000000
31220220111221002012110
4102232222121331000
5312141204033440
613123303455320
71311231026163
oct225652317500
956814832173
1020110221120
11858a771860
123a92a57540
131b86489832
14d8abb7ada
157ca78e080
hex4aea99f40

20110221120 has 224 divisors, whose sum is σ = 72683827200. Its totient is φ = 4663183360.

The previous prime is 20110221083. The next prime is 20110221127. The reversal of 20110221120 is 2112201102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20110221096 and 20110221105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20110221127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201481 + ... + 284279.

Almost surely, 220110221120 is an apocalyptic number.

20110221120 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 20110221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36341913600).

20110221120 is an abundant number, since it is smaller than the sum of its proper divisors (52573606080).

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

20110221120 is a wasteful number, since it uses less digits than its factorization.

20110221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82853 (or 82843 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20110221120 its reverse (2112201102), we get a palindrome (22222422222).

It can be divided in two parts, 201102 and 21120, that added together give a palindrome (222222).

The spelling of 20110221120 in words is "twenty billion, one hundred ten million, two hundred twenty-one thousand, one hundred twenty".