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20112005520 = 24325411374973
BaseRepresentation
bin10010101110110001…
…001101100110010000
31220220122021201221100
4102232301031212100
5312142133134040
613123410024400
71311252140415
oct225661154620
956818251840
1020112005520
118590780472
123a93578100
131b86962aa9
14d8b12010c
157ca9e2b30
hex4aec4d990

20112005520 has 240 divisors, whose sum is σ = 69709257072. Its totient is φ = 5193154560.

The previous prime is 20112005503. The next prime is 20112005579. The reversal of 20112005520 is 2550021102.

20112005520 is a `hidden beast` number, since 2 + 0 + 112 + 0 + 0 + 552 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1077940224 + 19034065296 = 32832^2 + 137964^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20112005493 and 20112005502.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4041754 + ... + 4046726.

Almost surely, 220112005520 is an apocalyptic number.

20112005520 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 20112005520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34854628536).

20112005520 is an abundant number, since it is smaller than the sum of its proper divisors (49597251552).

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

20112005520 is a wasteful number, since it uses less digits than its factorization.

20112005520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5170 (or 5161 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

Adding to 20112005520 its reverse (2550021102), we get a palindrome (22662026622).

The spelling of 20112005520 in words is "twenty billion, one hundred twelve million, five thousand, five hundred twenty".