Search a number
-
+
2210001100120 = 235115022729773
BaseRepresentation
bin100000001010001110010…
…101001001110101011000
321211021101202222001200001
4200022032111021311120
5242202040240200440
64411132133222344
7315444613255252
oct40121625116530
97737352861601
102210001100120
11782290008590
122b8390a919b4
1313052c867668
1478d70cdccd2
153c74947ab9a
hex2028e549d58

2210001100120 has 32 divisors (see below), whose sum is σ = 5424548155920. Its totient is φ = 803636763520.

The previous prime is 2210001100079. The next prime is 2210001100133. The reversal of 2210001100120 is 210011000122.

It is a super-2 number, since 2×22100011001202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2210001100097 and 2210001100106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2511364447 + ... + 2511365326.

Almost surely, 22210001100120 is an apocalyptic number.

2210001100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210001100120 is an abundant number, since it is smaller than the sum of its proper divisors (3214547055800).

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

2210001100120 is a wasteful number, since it uses less digits than its factorization.

2210001100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5022729795 (or 5022729791 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2210001100120 its reverse (210011000122), we get a palindrome (2420012100242).

The spelling of 2210001100120 in words is "two trillion, two hundred ten billion, one million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 5022729773 10045459546 20090919092 25113648865 40181838184 50227297730 55250027503 100454595460 110500055006 200909190920 221000110012 276250137515 442000220024 552500275030 1105000550060 2210001100120