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21361347 = 337113023
BaseRepresentation
bin101000101111…
…1001011000011
31111012021021000
41101133023003
520432030342
62041503043
7346365660
oct121371303
944167230
1021361347
1111070107
1271a1a83
13456bc67
142ba0a67
151d1e44c
hex145f2c3

21361347 has 16 divisors (see below), whose sum is σ = 36167680. Its totient is φ = 12206376.

The previous prime is 21361303. The next prime is 21361391. The reversal of 21361347 is 74316312.

21361347 is a `hidden beast` number, since 2 + 1 + 3 + 613 + 47 = 666.

It is an interprime number because it is at equal distance from previous prime (21361303) and next prime (21361391).

It is not a de Polignac number, because 21361347 - 26 = 21361283 is a prime.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21361347.

It is not an unprimeable number, because it can be changed into a prime (21361397) 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 15 ways as a sum of consecutive naturals, for example, 56323 + ... + 56700.

It is an arithmetic number, because the mean of its divisors is an integer number (2260480).

Almost surely, 221361347 is an apocalyptic number.

21361347 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

21361347 is a deficient number, since it is larger than the sum of its proper divisors (14806333).

21361347 is a wasteful number, since it uses less digits than its factorization.

21361347 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113039 (or 113033 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 21361347 is about 4621.8337269962. The cubic root of 21361347 is about 277.4658540893.

Adding to 21361347 its reverse (74316312), we get a palindrome (95677659).

The spelling of 21361347 in words is "twenty-one million, three hundred sixty-one thousand, three hundred forty-seven".

Divisors: 1 3 7 9 21 27 63 189 113023 339069 791161 1017207 2373483 3051621 7120449 21361347