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10021305 = 35795441
BaseRepresentation
bin100110001110…
…100110111001
3200212010122110
4212032212321
510031140210
6554442533
7151115430
oct46164671
920763573
1010021305
115725178
123433449
1320cb488
14148c117
15d2e420
hex98e9b9

10021305 has 16 divisors (see below), whose sum is σ = 18324864. Its totient is φ = 4581120.

The previous prime is 10021301. The next prime is 10021331. The reversal of 10021305 is 50312001.

10021305 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10021305 - 22 = 10021301 is a prime.

It is a super-4 number, since 4×100213054 (a number of 29 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (10021301) 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, 47616 + ... + 47825.

It is an arithmetic number, because the mean of its divisors is an integer number (1145304).

Almost surely, 210021305 is an apocalyptic number.

10021305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10021305 is a deficient number, since it is larger than the sum of its proper divisors (8303559).

10021305 is an equidigital number, since it uses as much as digits as its factorization.

10021305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95456.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 10021305 is about 3165.6444841454. The cubic root of 10021305 is about 215.5963612458.

Adding to 10021305 its reverse (50312001), we get a palindrome (60333306).

The spelling of 10021305 in words is "ten million, twenty-one thousand, three hundred five".

Divisors: 1 3 5 7 15 21 35 105 95441 286323 477205 668087 1431615 2004261 3340435 10021305