Search a number
-
+
20001112320 = 283577310193
BaseRepresentation
bin10010101000001010…
…001100000100000000
31220121220121210001210
4102220022030010000
5311430241043240
613104405130120
71305434435550
oct225012140400
956556553053
1020001112320
1185341197a2
123a623b9940
131b699a7007
14d7a4d5160
157c0dda780
hex4a828c100

20001112320 has 288 divisors, whose sum is σ = 74011375872. Its totient is φ = 4508614656.

The previous prime is 20001112319. The next prime is 20001112349. The reversal of 20001112320 is 2321110002.

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

It is a junction number, because it is equal to n+sod(n) for n = 20001112296 and 20001112305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1957144 + ... + 1967336.

It is an arithmetic number, because the mean of its divisors is an integer number (256983944).

Almost surely, 220001112320 is an apocalyptic number.

20001112320 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 20001112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37005687936).

20001112320 is an abundant number, since it is smaller than the sum of its proper divisors (54010263552).

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

20001112320 is a wasteful number, since it uses less digits than its factorization.

20001112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10297 (or 10283 counting only the distinct ones).

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

Adding to 20001112320 its reverse (2321110002), we get a palindrome (22322222322).

The spelling of 20001112320 in words is "twenty billion, one million, one hundred twelve thousand, three hundred twenty".