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211221222331 = 71011331322441
BaseRepresentation
bin1100010010110111000…
…1000001001110111011
3202012012100222211201111
43010231301001032323
511430040113103311
6241011135501151
721155154523630
oct3045561011673
9665170884644
10211221222331
118163a967669
1234b296877b7
1316bc20216c2
14a31a4da187
155763660d21
hex312dc413bb

211221222331 has 16 divisors (see below), whose sum is σ = 243814915008. Its totient is φ = 179232768000.

The previous prime is 211221222263. The next prime is 211221222347. The reversal of 211221222331 is 133222122112.

211221222331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 211221222331 - 211 = 211221220283 is a prime.

It is a super-2 number, since 2×2112212223312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211221202331) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9401071 + ... + 9423511.

It is an arithmetic number, because the mean of its divisors is an integer number (15238432188).

Almost surely, 2211221222331 is an apocalyptic number.

211221222331 is a deficient number, since it is larger than the sum of its proper divisors (32593692677).

211221222331 is a wasteful number, since it uses less digits than its factorization.

211221222331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35862.

The product of its digits is 576, while the sum is 22.

Adding to 211221222331 its reverse (133222122112), we get a palindrome (344443344443).

The spelling of 211221222331 in words is "two hundred eleven billion, two hundred twenty-one million, two hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 7 101 707 13313 22441 93191 157087 1344613 2266541 9412291 15865787 298757033 2091299231 30174460333 211221222331