Search a number
-
+
2200100201220 = 2235298389171169
BaseRepresentation
bin100000000001000000001…
…100001110001100000100
321210022211202200021200210
4200001000030032030010
5242021301122414340
64402413450435420
7314644351102635
oct40010014161404
97708752607623
102200100201220
1177906a230709
122b6489132b70
1312c6125677bc
14786b1db588c
153c36a146180
hex2004030e304

2200100201220 has 192 divisors, whose sum is σ = 6521987808000. Its totient is φ = 553346433024.

The previous prime is 2200100201219. The next prime is 2200100201239. The reversal of 2200100201220 is 221020010022.

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 = 2200100201196 and 2200100201205.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12767796 + ... + 12938964.

It is an arithmetic number, because the mean of its divisors is an integer number (33968686500).

Almost surely, 22200100201220 is an apocalyptic number.

2200100201220 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 2200100201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3260993904000).

2200100201220 is an abundant number, since it is smaller than the sum of its proper divisors (4321887606780).

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

2200100201220 is a wasteful number, since it uses less digits than its factorization.

2200100201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171382 (or 171380 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2200100201220 its reverse (221020010022), we get a palindrome (2421120211242).

The spelling of 2200100201220 in words is "two trillion, two hundred billion, one hundred million, two hundred one thousand, two hundred twenty".