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211331320 = 2357966877
BaseRepresentation
bin11001001100010…
…10100011111000
3112201122202001221
430212022203320
5413100100240
632545321424
75144200204
oct1446124370
9481582057
10211331320
11a9322392
125a936274
1334a23b25
14200d1b04
1513846a4a
hexc98a8f8

211331320 has 32 divisors (see below), whose sum is σ = 481521600. Its totient is φ = 83461248.

The previous prime is 211331311. The next prime is 211331339. The reversal of 211331320 is 23133112.

It is a junction number, because it is equal to n+sod(n) for n = 211331294 and 211331303.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 30279 + ... + 36598.

It is an arithmetic number, because the mean of its divisors is an integer number (15047550).

Almost surely, 2211331320 is an apocalyptic number.

211331320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211331320 is an abundant number, since it is smaller than the sum of its proper divisors (270190280).

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

211331320 is a wasteful number, since it uses less digits than its factorization.

211331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66967 (or 66963 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 211331320 is about 14537.2390776241. The cubic root of 211331320 is about 595.6456236044.

Adding to 211331320 its reverse (23133112), we get a palindrome (234464432).

It can be divided in two parts, 2113 and 31320, that added together give a palindrome (33433).

The spelling of 211331320 in words is "two hundred eleven million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 632 790 1580 3160 66877 133754 267508 334385 535016 668770 1337540 2675080 5283283 10566566 21133132 26416415 42266264 52832830 105665660 211331320