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2121200331 = 329713371019
BaseRepresentation
bin111111001101110…
…1111001011001011
312110211102010211020
41332123233023023
513321011402311
6550252403523
7103364622345
oct17633571313
95424363736
102121200331
119993a9228
124b24765a3
1327a601733
14161a08295
15c6353c06
hex7e6ef2cb

2121200331 has 32 divisors (see below), whose sum is σ = 2978726400. Its totient is φ = 1340828160.

The previous prime is 2121200321. The next prime is 2121200371. The reversal of 2121200331 is 1330021212.

It is not a de Polignac number, because 2121200331 - 211 = 2121198283 is a prime.

It is a super-3 number, since 3×21212003313 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2121200331.

It is not an unprimeable number, because it can be changed into a prime (2121200321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2081140 + ... + 2082158.

It is an arithmetic number, because the mean of its divisors is an integer number (93085200).

Almost surely, 22121200331 is an apocalyptic number.

2121200331 is a deficient number, since it is larger than the sum of its proper divisors (857526069).

2121200331 is a wasteful number, since it uses less digits than its factorization.

2121200331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2121200331 is about 46056.4906500702. The cubic root of 2121200331 is about 1284.8740621580.

Adding to 2121200331 its reverse (1330021212), we get a palindrome (3451221543).

The spelling of 2121200331 in words is "two billion, one hundred twenty-one million, two hundred thousand, three hundred thirty-one".

Divisors: 1 3 29 71 87 213 337 1011 1019 2059 3057 6177 9773 23927 29319 29551 71781 72349 88653 217047 343403 693883 1030209 2081649 2098121 6294363 9958687 24381613 29876061 73144839 707066777 2121200331