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20110221040 = 2457137379479
BaseRepresentation
bin10010101110101010…
…011001111011110000
31220220111221002002111
4102232222121323300
5312141204033130
613123303455104
71311231026020
oct225652317360
956814832074
1020110221040
11858a771798
123a92a57494
131b864897a0
14d8abb7a80
157ca78e02a
hex4aea99ef0

20110221040 has 320 divisors, whose sum is σ = 59196211200. Its totient is φ = 6184968192.

The previous prime is 20110221029. The next prime is 20110221041. The reversal of 20110221040 is 4012201102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 20110221040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20110221041) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 41983521 + ... + 41983999.

It is an arithmetic number, because the mean of its divisors is an integer number (184988160).

Almost surely, 220110221040 is an apocalyptic number.

20110221040 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 20110221040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29598105600).

20110221040 is an abundant number, since it is smaller than the sum of its proper divisors (39085990160).

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

20110221040 is a wasteful number, since it uses less digits than its factorization.

20110221040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20110221040 its reverse (4012201102), we get a palindrome (24122422142).

The spelling of 20110221040 in words is "twenty billion, one hundred ten million, two hundred twenty-one thousand, forty".