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13222001331 = 337116359789
BaseRepresentation
bin11000101000001011…
…11011101010110011
31021010110112021001000
430110011323222303
5204034313020311
610024001213043
7645440104560
oct142405735263
937113467030
1013222001331
115675525330
122690031183
131329390336
148d6037867
15525ba5056
hex31417bab3

13222001331 has 32 divisors (see below), whose sum is σ = 24421593600. Its totient is φ = 6868571040.

The previous prime is 13222001321. The next prime is 13222001339. The reversal of 13222001331 is 13310022231.

13222001331 is a `hidden beast` number, since 132 + 2 + 200 + 1 + 331 = 666.

It is not a de Polignac number, because 13222001331 - 26 = 13222001267 is a prime.

It is a super-2 number, since 2×132220013312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13222001339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3177816 + ... + 3181973.

It is an arithmetic number, because the mean of its divisors is an integer number (763174800).

Almost surely, 213222001331 is an apocalyptic number.

13222001331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13222001331 is a deficient number, since it is larger than the sum of its proper divisors (11199592269).

13222001331 is a wasteful number, since it uses less digits than its factorization.

13222001331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6359816 (or 6359810 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13222001331 its reverse (13310022231), we get a palindrome (26532023562).

The spelling of 13222001331 in words is "thirteen billion, two hundred twenty-two million, one thousand, three hundred thirty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 6359789 19079367 44518523 57238101 69957679 133555569 171714303 209873037 400666707 489703753 629619111 1202000121 1469111259 1888857333 4407333777 13222001331