Search a number
-
+
2231021320200 = 2332521239456289
BaseRepresentation
bin100000011101110011001…
…110111011100000001000
321220021122201012212202200
4200131303032323200020
5243023112424221300
64424530025400200
7320120534216601
oct40356316734010
97807581185680
102231021320200
11790197410aa2
12300478639060
131324cc70baca
1479da68b6da8
153d079a6e200
hex207733bb808

2231021320200 has 72 divisors (see below), whose sum is σ = 7492513273050. Its totient is φ = 594939018240.

The previous prime is 2231021320163. The next prime is 2231021320219. The reversal of 2231021320200 is 20231201322.

2231021320200 is a `hidden beast` number, since 2 + 231 + 0 + 213 + 20 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1824071738724 + 406949581476 = 1350582^2 + 637926^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×22310213202003 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 17 ways as a sum of consecutive naturals, for example, 619726345 + ... + 619729944.

Almost surely, 22231021320200 is an apocalyptic number.

2231021320200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2231021320200 is an abundant number, since it is smaller than the sum of its proper divisors (5261491952850).

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

2231021320200 is a wasteful number, since it uses less digits than its factorization.

2231021320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239456311 (or 1239456299 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2231021320200 its reverse (20231201322), we get a palindrome (2251252521522).

The spelling of 2231021320200 in words is "two trillion, two hundred thirty-one billion, twenty-one million, three hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 1239456289 2478912578 3718368867 4957825156 6197281445 7436737734 9915650312 11155106601 12394562890 14873475468 18591844335 22310213202 24789125780 29746950936 30986407225 37183688670 44620426404 49578251560 55775533005 61972814450 74367377340 89240852808 92959221675 111551066010 123945628900 148734754680 185918443350 223102132020 247891257800 278877665025 371836886700 446204264040 557755330050 743673773400 1115510660100 2231021320200