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12973311 = 3313231607
BaseRepresentation
bin110001011111…
…010011111111
3220102010001000
4301133103333
511310121221
61142021343
7215162031
oct61372377
926363030
1012973311
11736104a
124417853
1328c3020
141a19c51
151213e26
hexc5f4ff

12973311 has 32 divisors (see below), whose sum is σ = 21611520. Its totient is φ = 7631712.

The previous prime is 12973309. The next prime is 12973319. The reversal of 12973311 is 11337921.

It is not a de Polignac number, because 12973311 - 21 = 12973309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12973319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7270 + ... + 8876.

It is an arithmetic number, because the mean of its divisors is an integer number (675360).

Almost surely, 212973311 is an apocalyptic number.

12973311 is a deficient number, since it is larger than the sum of its proper divisors (8638209).

12973311 is a wasteful number, since it uses less digits than its factorization.

12973311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1646 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 12973311 is about 3601.8482755385. The cubic root of 12973311 is about 234.9724488600.

The spelling of 12973311 in words is "twelve million, nine hundred seventy-three thousand, three hundred eleven".

Divisors: 1 3 9 13 23 27 39 69 117 207 299 351 621 897 1607 2691 4821 8073 14463 20891 36961 43389 62673 110883 188019 332649 480493 564057 997947 1441479 4324437 12973311