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13222120212 = 223472832837
BaseRepresentation
bin11000101000001100…
…11000101100010100
31021010110202022010000
430110012120230110
5204034330321322
610024003531300
7645441111300
oct142406305424
937113668100
1013222120212
1156755a6684
122690089b30
131329402492
148d6068d00
15525bca3ac
hex314198b14

13222120212 has 90 divisors (see below), whose sum is σ = 40208585802. Its totient is φ = 3777744096.

The previous prime is 13222120211. The next prime is 13222120231. The reversal of 13222120212 is 21202122231.

It can be written as a sum of positive squares in only one way, i.e., 13175825796 + 46294416 = 114786^2 + 6804^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13222120211) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 400543 + ... + 432294.

Almost surely, 213222120212 is an apocalyptic number.

13222120212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13222120212 is an abundant number, since it is smaller than the sum of its proper divisors (26986465590).

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

13222120212 is a wasteful number, since it uses less digits than its factorization.

13222120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832867 (or 832849 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13222120212 its reverse (21202122231), we get a palindrome (34424242443).

The spelling of 13222120212 in words is "thirteen billion, two hundred twenty-two million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 7938 15876 832837 1665674 2498511 3331348 4997022 5829859 7495533 9994044 11659718 14991066 17489577 22486599 23319436 29982132 34979154 40809013 44973198 52468731 67459797 69958308 81618026 89946396 104937462 122427039 134919594 157406193 163236052 209874924 244854078 269839188 314812386 367281117 472218579 489708156 629624772 734562234 944437158 1101843351 1469124468 1888874316 2203686702 3305530053 4407373404 6611060106 13222120212