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20286001120 = 2557112956779
BaseRepresentation
bin10010111001001000…
…111100111111100000
31221100202200122000211
4102321020330333200
5313021204013440
613152543223504
71315464110260
oct227110747740
957322618024
1020286001120
11866aa11990
123b218a7b94
131bb3a13978
14da62937a0
157dae11eea
hex4b923cfe0

20286001120 has 192 divisors, whose sum is σ = 61812979200. Its totient is φ = 6104770560.

The previous prime is 20286001103. The next prime is 20286001129. The reversal of 20286001120 is 2110068202.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 20286001091 and 20286001100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20286001129) 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, 328891 + ... + 385669.

It is an arithmetic number, because the mean of its divisors is an integer number (321942600).

Almost surely, 220286001120 is an apocalyptic number.

20286001120 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 20286001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30906489600).

20286001120 is an abundant number, since it is smaller than the sum of its proper divisors (41526978080).

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

20286001120 is a wasteful number, since it uses less digits than its factorization.

20286001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56841 (or 56833 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 20286001120 its reverse (2110068202), we get a palindrome (22396069322).

The spelling of 20286001120 in words is "twenty billion, two hundred eighty-six million, one thousand, one hundred twenty".