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13221301212 = 22327274119141
BaseRepresentation
bin11000101000000110…
…10000101111011100
31021010102012200122200
430110003100233130
5204034123114322
610023534211500
7645431130450
oct142403205734
937112180580
1013221301212
115675097319
12268b953b90
1313291a6772
148d5cd4660
15525ab78ac
hex3140d0bdc

13221301212 has 72 divisors (see below), whose sum is σ = 38210800992. Its totient is φ = 3775939200.

The previous prime is 13221301199. The next prime is 13221301213. The reversal of 13221301212 is 21210312231.

13221301212 is a `hidden beast` number, since 1 + 322 + 130 + 1 + 212 = 666.

It is a super-3 number, since 3×132213012123 (a number of 31 digits) contains 333 as substring.

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 (13221301213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 681162 + ... + 700302.

Almost surely, 213221301212 is an apocalyptic number.

13221301212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13221301212 is an abundant number, since it is smaller than the sum of its proper divisors (24989499780).

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

13221301212 is a wasteful number, since it uses less digits than its factorization.

13221301212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21899 (or 21894 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13221301212 its reverse (21210312231), we get a palindrome (34431613443).

The spelling of 13221301212 in words is "thirteen billion, two hundred twenty-one million, three hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 2741 5482 8223 10964 16446 19141 19187 24669 32892 38282 38374 49338 57423 57561 76564 76748 98676 114846 115122 133987 172269 172683 229692 230244 267974 344538 345366 401961 535948 689076 690732 803922 1205883 1607844 2411766 4823532 52465481 104930962 157396443 209861924 314792886 367258367 472189329 629585772 734516734 944378658 1101775101 1469033468 1888757316 2203550202 3305325303 4407100404 6610650606 13221301212