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13300324312331 = 729531682373483
BaseRepresentation
bin1100000110001011100100…
…0110110010010100001011
31202002111110110200022220102
43001202321012302110023
53220403031010443311
644142030140520015
72541626302213040
oct301427106622413
952074413608812
1013300324312331
1142686aa376711
1215a983785000b
137562a4a47cc4
1433da4c2691c7
15180e8a55843b
hexc18b91b250b

13300324312331 has 32 divisors (see below), whose sum is σ = 16022380815360. Its totient is φ = 10798693686144.

The previous prime is 13300324312283. The next prime is 13300324312381. The reversal of 13300324312331 is 13321342300331.

It is not a de Polignac number, because 13300324312331 - 222 = 13300320118027 is a prime.

It is a super-2 number, since 2×133003243123312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13300324312294 and 13300324312303.

It is not an unprimeable number, because it can be changed into a prime (13300324312381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180961916 + ... + 181035398.

It is an arithmetic number, because the mean of its divisors is an integer number (500699400480).

Almost surely, 213300324312331 is an apocalyptic number.

13300324312331 is a deficient number, since it is larger than the sum of its proper divisors (2722056503029).

13300324312331 is a wasteful number, since it uses less digits than its factorization.

13300324312331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90395.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 13300324312331 its reverse (13321342300331), we get a palindrome (26621666612662).

The spelling of 13300324312331 in words is "thirteen trillion, three hundred billion, three hundred twenty-four million, three hundred twelve thousand, three hundred thirty-one".

Divisors: 1 7 29 53 203 371 1537 10759 16823 73483 117761 487867 514381 891619 2131007 3415069 3894599 6241333 14917049 25856951 27262193 112943371 180998657 790603597 1236204509 8653431563 35849930761 65518838977 250949515327 458631872839 1900046330333 13300324312331