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104221313 = 750929251
BaseRepresentation
bin1100011011001…
…00101010000001
321021002222202122
412031210222001
5203140040223
614201454025
72403603140
oct615445201
9237088678
10104221313
1153915019
122aaa1315
1318791021
14dbad757
15923a5c8
hex6364a81

104221313 has 8 divisors (see below), whose sum is σ = 119348160. Its totient is φ = 89154000.

The previous prime is 104221307. The next prime is 104221319. The reversal of 104221313 is 313122401.

It is an interprime number because it is at equal distance from previous prime (104221307) and next prime (104221319).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 104221313 - 214 = 104204929 is a prime.

It is a super-3 number, since 3×1042213133 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 104221291 and 104221300.

It is not an unprimeable number, because it can be changed into a prime (104221319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11063 + ... + 18188.

It is an arithmetic number, because the mean of its divisors is an integer number (14918520).

Almost surely, 2104221313 is an apocalyptic number.

It is an amenable number.

104221313 is a deficient number, since it is larger than the sum of its proper divisors (15126847).

104221313 is an equidigital number, since it uses as much as digits as its factorization.

104221313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29767.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 104221313 is about 10208.8840232417. The cubic root of 104221313 is about 470.6002787264.

Adding to 104221313 its reverse (313122401), we get a palindrome (417343714).

The spelling of 104221313 in words is "one hundred four million, two hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 7 509 3563 29251 204757 14888759 104221313