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13012322323 = 71113311073919
BaseRepresentation
bin11000001111001100…
…00100100000010011
31020120211222110111211
430013212010200103
5203122123303243
65551111120551
7640312625530
oct140746044023
936524873454
1013012322323
1155781313a0
122631973157
1312c4ac7610
148b6255d87
15512587d9d
hex307984813

13012322323 has 64 divisors (see below), whose sum is σ = 18207866880. Its totient is φ = 8970652800.

The previous prime is 13012322269. The next prime is 13012322327. The reversal of 13012322323 is 32322321031.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13012322323 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13012322294 and 13012322303.

It is not an unprimeable number, because it can be changed into a prime (13012322327) 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 63 ways as a sum of consecutive naturals, for example, 3318358 + ... + 3322276.

It is an arithmetic number, because the mean of its divisors is an integer number (284497920).

Almost surely, 213012322323 is an apocalyptic number.

13012322323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13012322323 is a deficient number, since it is larger than the sum of its proper divisors (5195544557).

13012322323 is a wasteful number, since it uses less digits than its factorization.

13012322323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4088.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 13012322323 its reverse (32322321031), we get a palindrome (45334643354).

The spelling of 13012322323 in words is "thirteen billion, twelve million, three hundred twenty-two thousand, three hundred twenty-three".

Divisors: 1 7 11 13 31 77 91 107 143 217 341 403 749 1001 1177 1391 2387 2821 3317 3919 4433 8239 9737 15301 23219 27433 31031 36487 43109 43121 50947 107107 121489 255409 301763 301847 356629 419333 474331 560417 850423 1336379 1579357 2935331 3320317 3922919 4612663 5451329 9354653 11055499 12999323 17372927 32288641 38159303 59964619 90995261 121610489 142992553 168991199 419752333 1000947871 1182938393 1858903189 13012322323