Search a number
-
+
2200020100212 = 223111071994391783
BaseRepresentation
bin100000000000111011011…
…010101010010001110100
321210022122011221201202210
4200000323122222101310
5242021120121201322
64402401505533420
7314642356206204
oct40007332522164
97708564851683
102200020100212
11779028aa0630
122b6466344270
1312c5cbaa045c
14786a54c4404
153c3630c270c
hex2003b6aa474

2200020100212 has 192 divisors, whose sum is σ = 5696925696000. Its totient is φ = 655258792320.

The previous prime is 2200020100193. The next prime is 2200020100217. The reversal of 2200020100212 is 2120010200022.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200020100217) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1233885873 + ... + 1233887655.

It is an arithmetic number, because the mean of its divisors is an integer number (29671488000).

Almost surely, 22200020100212 is an apocalyptic number.

2200020100212 is a gapful number since it is divisible by the number (22) 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 2200020100212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848462848000).

2200020100212 is an abundant number, since it is smaller than the sum of its proper divisors (3496905595788).

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

2200020100212 is a wasteful number, since it uses less digits than its factorization.

2200020100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2546 (or 2544 counting only the distinct ones).

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

Adding to 2200020100212 its reverse (2120010200022), we get a palindrome (4320030300234).

The spelling of 2200020100212 in words is "two trillion, two hundred billion, twenty million, one hundred thousand, two hundred twelve".