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212211121313 = 532100974873
BaseRepresentation
bin1100010110100011000…
…1001011110010100001
3202021202100122220211202
43011220301023302201
511434102021340223
6241253300450545
721221534524532
oct3055061136241
9667670586752
10212211121313
1181aa87113a4
12351650a9a55
131701c133049
14a3b1b78689
1557c04e9428
hex3168c4bca1

212211121313 has 12 divisors (see below), whose sum is σ = 216507904620. Its totient is φ = 207998009856.

The previous prime is 212211121303. The next prime is 212211121357. The reversal of 212211121313 is 313121112212.

It can be written as a sum of positive squares in 6 ways, for example, as 5524502929 + 206686618384 = 74327^2 + 454628^2 .

It is not a de Polignac number, because 212211121313 - 226 = 212144012449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212211121303) 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 11 ways as a sum of consecutive naturals, for example, 2796845 + ... + 2871717.

It is an arithmetic number, because the mean of its divisors is an integer number (18042325385).

Almost surely, 2212211121313 is an apocalyptic number.

It is an amenable number.

212211121313 is a deficient number, since it is larger than the sum of its proper divisors (4296783307).

212211121313 is an equidigital number, since it uses as much as digits as its factorization.

212211121313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75988 (or 75935 counting only the distinct ones).

The product of its digits is 144, while the sum is 20.

Adding to 212211121313 its reverse (313121112212), we get a palindrome (525332233525).

The spelling of 212211121313 in words is "two hundred twelve billion, two hundred eleven million, one hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 53 1009 2809 53477 74873 2834281 3968269 75546857 210318257 4003983421 212211121313