Search a number
-
+
2210102000000 = 27561765003
BaseRepresentation
bin100000001010010100010…
…110000011100110000000
321211021122210211022021122
4200022110112003212000
5242202242103000000
64411150140011412
7315450250016066
oct40122426034600
97737583738248
102210102000000
11782331a64114
122b83ba830b68
1313054773492b
1478d80486036
153c75325c085
hex20294583980

2210102000000 has 224 divisors, whose sum is σ = 5827432439160. Its totient is φ = 832025600000.

The previous prime is 2210101999991. The next prime is 2210102000003. The reversal of 2210102000000 is 2010122.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210102000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 33967499 + ... + 34032501.

Almost surely, 22210102000000 is an apocalyptic number.

2210102000000 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 2210102000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913716219580).

2210102000000 is an abundant number, since it is smaller than the sum of its proper divisors (3617330439160).

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

2210102000000 is an frugal number, since it uses more digits than its factorization.

2210102000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65064 (or 65027 counting only the distinct ones).

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

Adding to 2210102000000 its reverse (2010122), we get a palindrome (2210104010122).

The spelling of 2210102000000 in words is "two trillion, two hundred ten billion, one hundred two million", and thus it is an aban number.