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20110840040 = 2353821131581
BaseRepresentation
bin10010101110101100…
…110001000011101000
31220220120002112012102
4102232230301003220
5312141333340130
613123325032532
71311236214464
oct225654610350
956816075172
1020110840040
118590054865
123a930b5748
131b86645465
14d8acd94a4
157ca862645
hex4aeb310e8

20110840040 has 32 divisors (see below), whose sum is σ = 45261576360. Its totient is φ = 8042169600.

The previous prime is 20110840039. The next prime is 20110840049. The reversal of 20110840040 is 4004801102.

It can be written as a sum of positive squares in 4 ways, for example, as 17175150916 + 2935689124 = 131054^2 + 54182^2 .

It is a super-2 number, since 2×201108400402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20110839994 and 20110840021.

It is not an unprimeable number, because it can be changed into a prime (20110840049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87050 + ... + 218630.

Almost surely, 220110840040 is an apocalyptic number.

20110840040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20110840040 is an abundant number, since it is smaller than the sum of its proper divisors (25150736320).

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

20110840040 is a wasteful number, since it uses less digits than its factorization.

20110840040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135413 (or 135409 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The spelling of 20110840040 in words is "twenty billion, one hundred ten million, eight hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 3821 7642 15284 19105 30568 38210 76420 131581 152840 263162 526324 657905 1052648 1315810 2631620 5263240 502771001 1005542002 2011084004 2513855005 4022168008 5027710010 10055420020 20110840040