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221330013 = 3412397529
BaseRepresentation
bin11010011000100…
…11101001011101
3120102110201200220
431030103221131
5423130030023
633543511553
75325163002
oct1514235135
9512421626
10221330013
11103a31573
12621585b9
1336b14c08
14215758a9
151466e3e3
hexd313a5d

221330013 has 16 divisors (see below), whose sum is σ = 303609600. Its totient is φ = 143333120.

The previous prime is 221329991. The next prime is 221330047. The reversal of 221330013 is 310033122.

It is a cyclic number.

It is not a de Polignac number, because 221330013 - 25 = 221329981 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 221329974 and 221330001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221330513) 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, 25633 + ... + 33161.

It is an arithmetic number, because the mean of its divisors is an integer number (18975600).

Almost surely, 2221330013 is an apocalyptic number.

It is an amenable number.

221330013 is a deficient number, since it is larger than the sum of its proper divisors (82279587).

221330013 is a wasteful number, since it uses less digits than its factorization.

221330013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7812.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 221330013 is about 14877.1641450916. The cubic root of 221330013 is about 604.8951511038.

Adding to 221330013 its reverse (310033122), we get a palindrome (531363135).

The spelling of 221330013 in words is "two hundred twenty-one million, three hundred thirty thousand, thirteen".

Divisors: 1 3 41 123 239 717 7529 9799 22587 29397 308689 926067 1799431 5398293 73776671 221330013