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10001321 = 111779677
BaseRepresentation
bin100110001001…
…101110101001
3200211010020022
4212021232221
510030020241
6554210225
7151003241
oct46115651
920733208
1010001321
115711160
123423975
1320c2355
141484b21
15d2854b
hex989ba9

10001321 has 16 divisors (see below), whose sum is σ = 11715840. Its totient is φ = 8436480.

The previous prime is 10001311. The next prime is 10001347. The reversal of 10001321 is 12310001.

10001321 = 7592 + 7602 + ... + 7752.

10001321 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 a de Polignac number, because none of the positive numbers 2k-10001321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001299 and 10001308.

It is not an unprimeable number, because it can be changed into a prime (10001311) 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, 14435 + ... + 15111.

It is an arithmetic number, because the mean of its divisors is an integer number (732240).

Almost surely, 210001321 is an apocalyptic number.

10001321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001321 is a deficient number, since it is larger than the sum of its proper divisors (1714519).

10001321 is a wasteful number, since it uses less digits than its factorization.

10001321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 10001321 is about 3162.4865217104. The cubic root of 10001321 is about 215.4529552796.

Adding to 10001321 its reverse (12310001), we get a palindrome (22311322).

The spelling of 10001321 in words is "ten million, one thousand, three hundred twenty-one".

Divisors: 1 11 17 79 187 677 869 1343 7447 11509 14773 53483 126599 588313 909211 10001321