Search a number
-
+
13312021100301 = 3271119209265657
BaseRepresentation
bin1100000110110111001001…
…0010011111011100001101
31202010121122122020201112200
43001231302102133130031
53221101004400202201
644151242535352113
72542522202241510
oct301556222373415
952117578221480
1013312021100301
11427266195a630
1215abb60b22639
1375741a128a11
1434043b8b8d77
15181422383386
hexc1b7249f70d

13312021100301 has 24 divisors (see below), whose sum is σ = 23973163541184. Its totient is φ = 6915335636160.

The previous prime is 13312021100299. The next prime is 13312021100309. The reversal of 13312021100301 is 10300112021331.

13312021100301 is a `hidden beast` number, since 1 + 33 + 120 + 211 + 0 + 0 + 301 = 666.

It is not a de Polignac number, because 13312021100301 - 21 = 13312021100299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13312021100309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9604632136 + ... + 9604633521.

It is an arithmetic number, because the mean of its divisors is an integer number (998881814216).

Almost surely, 213312021100301 is an apocalyptic number.

13312021100301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13312021100301 is a deficient number, since it is larger than the sum of its proper divisors (10661142440883).

13312021100301 is a wasteful number, since it uses less digits than its factorization.

13312021100301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19209265681 (or 19209265678 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13312021100301 its reverse (10300112021331), we get a palindrome (23612133121632).

The spelling of 13312021100301 in words is "thirteen trillion, three hundred twelve billion, twenty-one million, one hundred thousand, three hundred one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 19209265657 57627796971 134464859599 172883390913 211301922227 403394578797 633905766681 1210183736391 1479113455589 1901717300043 4437340366767 13312021100301