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13312332033 = 3711213403001
BaseRepresentation
bin11000110010111101…
…00001000100000001
31021100202111112110120
430121132201010001
5204230424111113
610040545250453
7650614645440
oct143136410401
937322445416
1013312332033
115711512100
1226b6333a29
131341cc9960
1490402cd57
1552da99a23
hex3197a1101

13312332033 has 48 divisors (see below), whose sum is σ = 24012471168. Its totient is φ = 6383520000.

The previous prime is 13312332023. The next prime is 13312332043. The reversal of 13312332033 is 33023321331.

It is an interprime number because it is at equal distance from previous prime (13312332023) and next prime (13312332043).

It is not a de Polignac number, because 13312332033 - 210 = 13312331009 is a prime.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13312331994 and 13312332012.

It is not an unprimeable number, because it can be changed into a prime (13312332013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168468 + ... + 234533.

It is an arithmetic number, because the mean of its divisors is an integer number (500259816).

Almost surely, 213312332033 is an apocalyptic number.

13312332033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13312332033 is a deficient number, since it is larger than the sum of its proper divisors (10700139135).

13312332033 is a wasteful number, since it uses less digits than its factorization.

13312332033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403046 (or 403035 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 13312332033 its reverse (33023321331), we get a palindrome (46335653364).

The spelling of 13312332033 in words is "thirteen billion, three hundred twelve million, three hundred thirty-two thousand, thirty-three".

Divisors: 1 3 7 11 13 21 33 39 77 91 121 143 231 273 363 429 847 1001 1573 2541 3003 4719 11011 33033 403001 1209003 2821007 4433011 5239013 8463021 13299033 15717039 31031077 36673091 48763121 57629143 93093231 110019273 146289363 172887429 341341847 403404001 633920573 1024025541 1210212003 1901761719 4437444011 13312332033