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12833821 = 7111312821
BaseRepresentation
bin110000111101…
…010000011101
3220011000200201
4300331100131
511241140241
61135023501
7214041250
oct60752035
926130621
1012833821
117276270
12436ab91
1328746a0
1419c1097
1511d7931
hexc3d41d

12833821 has 16 divisors (see below), whose sum is σ = 17232768. Its totient is φ = 9230400.

The previous prime is 12833789. The next prime is 12833869.

12833821 is nontrivially palindromic in base 10.

12833821 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12833821 - 25 = 12833789 is a prime.

It is a super-2 number, since 2×128338212 = 329413922920082, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12833821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12830821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5410 + ... + 7411.

It is an arithmetic number, because the mean of its divisors is an integer number (1077048).

Almost surely, 212833821 is an apocalyptic number.

12833821 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12833821 is a deficient number, since it is larger than the sum of its proper divisors (4398947).

12833821 is a wasteful number, since it uses less digits than its factorization.

12833821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12852.

The product of its digits is 2304, while the sum is 28.

The square root of 12833821 is about 3582.4322743075. The cubic root of 12833821 is about 234.1272653713.

The spelling of 12833821 in words is "twelve million, eight hundred thirty-three thousand, eight hundred twenty-one".

Divisors: 1 7 11 13 77 91 143 1001 12821 89747 141031 166673 987217 1166711 1833403 12833821