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13312200321 = 3271995032111
BaseRepresentation
bin11000110010111100…
…00000111010000001
31021100202020211210100
430121132000322001
5204230410402241
610040542353013
7650613556440
oct143136007201
937322224710
1013312200321
115711432152
1226b628b769
131341c81a14
14903dd6d57
1552da709b6
hex319780e81

13312200321 has 48 divisors (see below), whose sum is σ = 22140518400. Its totient is φ = 7550120160.

The previous prime is 13312200311. The next prime is 13312200359. The reversal of 13312200321 is 12300221331.

13312200321 is a `hidden beast` number, since 13 + 312 + 20 + 0 + 321 = 666.

It is not a de Polignac number, because 13312200321 - 215 = 13312167553 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13312200294 and 13312200303.

It is not an unprimeable number, because it can be changed into a prime (13312200301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6305056 + ... + 6307166.

It is an arithmetic number, because the mean of its divisors is an integer number (461260800).

Almost surely, 213312200321 is an apocalyptic number.

It is an amenable number.

13312200321 is a deficient number, since it is larger than the sum of its proper divisors (8828318079).

13312200321 is a wasteful number, since it uses less digits than its factorization.

13312200321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2826 (or 2823 counting only the distinct ones).

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

Adding to 13312200321 its reverse (12300221331), we get a palindrome (25612421652).

The spelling of 13312200321 in words is "thirteen billion, three hundred twelve million, two hundred thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 63 199 503 597 1393 1509 1791 2111 3521 4179 4527 6333 10563 12537 14777 18999 31689 44331 100097 132993 300291 420089 700679 900873 1061833 1260267 2102037 2940623 3185499 3780801 6306111 7432831 8821869 9556497 22298493 26465607 66895479 211304767 633914301 1479133369 1901742903 4437400107 13312200321