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13123033 = 721197251
BaseRepresentation
bin110010000011…
…110111011001
3220200201102021
4302003313121
511324414113
61145134441
7216354400
oct62036731
926621367
1013123033
117453590
12448a421
132946211
141a58637
15124348d
hexc83dd9

13123033 has 24 divisors (see below), whose sum is σ = 16892064. Its totient is φ = 10080000.

The previous prime is 13123021. The next prime is 13123039. The reversal of 13123033 is 33032131.

It is a de Polignac number, because none of the positive numbers 2k-13123033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13122998 and 13123016.

It is not an unprimeable number, because it can be changed into a prime (13123039) 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 23 ways as a sum of consecutive naturals, for example, 52158 + ... + 52408.

It is an arithmetic number, because the mean of its divisors is an integer number (703836).

Almost surely, 213123033 is an apocalyptic number.

It is an amenable number.

13123033 is a deficient number, since it is larger than the sum of its proper divisors (3769031).

13123033 is a wasteful number, since it uses less digits than its factorization.

13123033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 13123033 is about 3622.5727045844. The cubic root of 13123033 is about 235.8729146759.

Adding to 13123033 its reverse (33032131), we get a palindrome (46155164).

The spelling of 13123033 in words is "thirteen million, one hundred twenty-three thousand, thirty-three".

Divisors: 1 7 11 49 77 97 251 539 679 1067 1757 2761 4753 7469 12299 19327 24347 52283 135289 170429 267817 1193003 1874719 13123033