Search a number
-
+
2010221200100 = 225228171538121
BaseRepresentation
bin11101010000001010100…
…001010100001011100100
321010011201202211121120202
4131100022201110023210
5230413413111400400
64135252144450032
7265143104162201
oct35201241241344
97104652747522
102010221200100
117055915087a3
12285717019918
1311774201c579
146d41c152ca8
15374554d14d5
hex1d40a8542e4

2010221200100 has 36 divisors (see below), whose sum is σ = 4377703837668. Its totient is φ = 801226944000.

The previous prime is 2010221200087. The next prime is 2010221200109. The reversal of 2010221200100 is 10021220102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 98682683044 + 1911538517056 = 314138^2 + 1382584^2 .

It is not an unprimeable number, because it can be changed into a prime (2010221200109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35740961 + ... + 35797160.

Almost surely, 22010221200100 is an apocalyptic number.

2010221200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010221200100 is an abundant number, since it is smaller than the sum of its proper divisors (2367482637568).

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

2010221200100 is a wasteful number, since it uses less digits than its factorization.

2010221200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71538416 (or 71538409 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2010221200100 its reverse (10021220102), we get a palindrome (2020242420202).

The spelling of 2010221200100 in words is "two trillion, ten billion, two hundred twenty-one million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 281 562 1124 1405 2810 5620 7025 14050 28100 71538121 143076242 286152484 357690605 715381210 1430762420 1788453025 3576906050 7153812100 20102212001 40204424002 80408848004 100511060005 201022120010 402044240020 502555300025 1005110600050 2010221200100