Search a number
-
+
101330221030020 = 223351723143487099
BaseRepresentation
bin10111000010100011000111…
…110101000101101010000100
3111021210002000022212101002000
4113002203013311011222010
5101240143243040430040
6555302243315545300
730225603224266113
oct2702430765055204
9437702008771060
10101330221030020
112a3179a6109534
12b446585bbb230
134470525343968
141b045a1cddc7a
15baac7192e130
hex5c28c7d45a84

101330221030020 has 576 divisors, whose sum is σ = 353727187968000. Its totient is φ = 24039104624640.

The previous prime is 101330221030013. The next prime is 101330221030177. The reversal of 101330221030020 is 20030122033101.

101330221030020 is a `hidden beast` number, since 1 + 0 + 1 + 330 + 2 + 2 + 10 + 300 + 20 = 666.

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 = 101330221029975 and 101330221030002.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 207784431 + ... + 208271529.

Almost surely, 2101330221030020 is an apocalyptic number.

101330221030020 is a gapful number since it is divisible by the number (10) 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 101330221030020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176863593984000).

101330221030020 is an abundant number, since it is smaller than the sum of its proper divisors (252396966937980).

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

101330221030020 is a wasteful number, since it uses less digits than its factorization.

101330221030020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487225 (or 487200 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101330221030020 its reverse (20030122033101), we get a palindrome (121360343063121).

The spelling of 101330221030020 in words is "one hundred one trillion, three hundred thirty billion, two hundred twenty-one million, thirty thousand, twenty".