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20110031040 = 2635116131219
BaseRepresentation
bin10010101110101001…
…101011100011000000
31220220111120102110110
4102232221223203000
5312141131443130
613123255431320
71311226305051
oct225651534300
956814512413
1020110031040
11858a651a70
123a92985540
131b86421168
14d8ab68728
157ca752ab0
hex4aea6b8c0

20110031040 has 224 divisors, whose sum is σ = 70797968640. Its totient is φ = 4795084800.

The previous prime is 20110031033. The next prime is 20110031041. The reversal of 20110031040 is 4013001102.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (20110031041) 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, 628551 + ... + 659769.

It is an arithmetic number, because the mean of its divisors is an integer number (316062360).

Almost surely, 220110031040 is an apocalyptic number.

20110031040 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 20110031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35398984320).

20110031040 is an abundant number, since it is smaller than the sum of its proper divisors (50687937600).

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

20110031040 is a wasteful number, since it uses less digits than its factorization.

20110031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31311 (or 31301 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20110031040 its reverse (4013001102), we get a palindrome (24123032142).

The spelling of 20110031040 in words is "twenty billion, one hundred ten million, thirty-one thousand, forty".