Search a number
-
+
2000210110100 = 225289224742709
BaseRepresentation
bin11101000110110101110…
…100000010011010010100
321002012220002012112211122
4131012311310002122110
5230232412242010400
64130514524223112
7264340033260656
oct35066564023224
97065802175748
102000210110100
117013145096a4
122837a239aa98
13116807c4b387
146cb4c7446d6
153706b682685
hex1d1b5d02694

2000210110100 has 36 divisors (see below), whose sum is σ = 4389225126300. Its totient is φ = 791094332160.

The previous prime is 2000210110039. The next prime is 2000210110111. The reversal of 2000210110100 is 10110120002.

It can be written as a sum of positive squares in 6 ways, for example, as 564881515396 + 1435328594704 = 751586^2 + 1198052^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 112362455 + ... + 112380254.

It is an arithmetic number, because the mean of its divisors is an integer number (121922920175).

Almost surely, 22000210110100 is an apocalyptic number.

2000210110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000210110100 is an abundant number, since it is smaller than the sum of its proper divisors (2389015016200).

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

2000210110100 is a wasteful number, since it uses less digits than its factorization.

2000210110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224742812 (or 224742805 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2000210110100 its reverse (10110120002), we get a palindrome (2010320230102).

The spelling of 2000210110100 in words is "two trillion, two hundred ten million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 356 445 890 1780 2225 4450 8900 224742709 449485418 898970836 1123713545 2247427090 4494854180 5618567725 11237135450 20002101101 22474270900 40004202202 80008404404 100010505505 200021011010 400042022020 500052527525 1000105055050 2000210110100