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220131122321 = 11139243759077
BaseRepresentation
bin1100110100000011010…
…1100101110010010001
3210001012022112122202102
43031000311211302101
512101312031403241
6245043221530145
721622024444505
oct3150065456221
9701168478672
10220131122321
11853a2309380
12367b5573955
13179b1c16386
14a92397a305
155ad599139b
hex3340d65c91

220131122321 has 16 divisors (see below), whose sum is σ = 241974035520. Its totient is φ = 198594607680.

The previous prime is 220131122297. The next prime is 220131122381. The reversal of 220131122321 is 123221131022.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-220131122321 is a prime.

It is a super-2 number, since 2×2201311223212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 220131122293 and 220131122302.

It is not an unprimeable number, because it can be changed into a prime (220131122381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3696635 + ... + 3755711.

It is an arithmetic number, because the mean of its divisors is an integer number (15123377220).

Almost surely, 2220131122321 is an apocalyptic number.

It is an amenable number.

220131122321 is a deficient number, since it is larger than the sum of its proper divisors (21842913199).

220131122321 is a wasteful number, since it uses less digits than its factorization.

220131122321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61664.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 220131122321 its reverse (123221131022), we get a palindrome (343352253343).

The spelling of 220131122321 in words is "two hundred twenty billion, one hundred thirty-one million, one hundred twenty-two thousand, three hundred twenty-one".

Divisors: 1 11 139 1529 2437 26807 59077 338743 649847 3726173 8211703 90328733 143970649 1583677139 20011920211 220131122321