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13223321004431 = 611514912923831
BaseRepresentation
bin1100000001101100101101…
…0110011110100110001111
31201211010200222100222122202
43000123023112132212033
53213122330134120211
644042413152432115
72533232135666066
oct300331326364617
951733628328582
1013223321004431
114238a84a8077a
12159692754863b
1374bc52709ba5
1433a0254b51dd
1517de801c853b
hexc06cb59e98f

13223321004431 has 16 divisors (see below), whose sum is σ = 13556662841856. Its totient is φ = 12894090300000.

The previous prime is 13223321004367. The next prime is 13223321004437. The reversal of 13223321004431 is 13440012332231.

It is a cyclic number.

It is not a de Polignac number, because 13223321004431 - 26 = 13223321004367 is a prime.

It is a super-2 number, since 2×132233210044312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13223321004394 and 13223321004403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13223321004437) 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 15 ways as a sum of consecutive naturals, for example, 3060686 + ... + 5984516.

It is an arithmetic number, because the mean of its divisors is an integer number (847291427616).

Almost surely, 213223321004431 is an apocalyptic number.

13223321004431 is a deficient number, since it is larger than the sum of its proper divisors (333341837425).

13223321004431 is a wasteful number, since it uses less digits than its factorization.

13223321004431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2924534.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 13223321004431 its reverse (13440012332231), we get a palindrome (26663333336662).

The spelling of 13223321004431 in words is "thirteen trillion, two hundred twenty-three billion, three hundred twenty-one million, four thousand, four hundred thirty-one".

Divisors: 1 61 151 491 9211 29951 74141 2923831 4522601 178353691 441498481 1435601021 26931407341 87571662281 216775754171 13223321004431