Search a number
-
+
1240221200100 = 2235226331570099
BaseRepresentation
bin10010000011000010111…
…100011010111011100100
311101120020010222202222020
4102003002330122323210
5130304433111400400
62345425540303140
7155413560156051
oct22030274327344
94346203882866
101240221200100
11438a7a598033
121804436a1ab0
138cc4c437cac
1444054236028
15223dad182a0
hex120c2f1aee4

1240221200100 has 72 divisors (see below), whose sum is σ = 3589738471200. Its totient is φ = 330599834880.

The previous prime is 1240221200087. The next prime is 1240221200111. The reversal of 1240221200100 is 10021220421.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1240221200100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4851 + ... + 1574949.

Almost surely, 21240221200100 is an apocalyptic number.

1240221200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1240221200100 is an abundant number, since it is smaller than the sum of its proper divisors (2349517271100).

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

1240221200100 is a wasteful number, since it uses less digits than its factorization.

1240221200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572749 (or 1572742 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1240221200100 its reverse (10021220421), we get a palindrome (1250242420521).

The spelling of 1240221200100 in words is "one trillion, two hundred forty billion, two hundred twenty-one million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 2633 5266 7899 10532 13165 15798 26330 31596 39495 52660 65825 78990 131650 157980 197475 263300 394950 789900 1570099 3140198 4710297 6280396 7850495 9420594 15700990 18841188 23551485 31401980 39252475 47102970 78504950 94205940 117757425 157009900 235514850 471029700 4134070667 8268141334 12402212001 16536282668 20670353335 24804424002 41340706670 49608848004 62011060005 82681413340 103351766675 124022120010 206703533350 248044240020 310055300025 413407066700 620110600050 1240221200100