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10013147 is a prime number
BaseRepresentation
bin100110001100…
…100111011011
3200211201110022
4212030213123
510030410042
6554341055
7151052564
oct46144733
920751408
1010013147
11571a031
12342a78b
1320c7851
14148916b
15d2bcd2
hex98c9db

10013147 has 2 divisors, whose sum is σ = 10013148. Its totient is φ = 10013146.

The previous prime is 10013141. The next prime is 10013219. The reversal of 10013147 is 74131001.

10013147 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10013147 - 216 = 9947611 is a prime.

It is a super-2 number, since 2×100131472 = 200526225687218, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10013141) 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 as a sum of consecutive naturals, namely, 5006573 + 5006574.

It is an arithmetic number, because the mean of its divisors is an integer number (5006574).

Almost surely, 210013147 is an apocalyptic number.

10013147 is a deficient number, since it is larger than the sum of its proper divisors (1).

10013147 is an equidigital number, since it uses as much as digits as its factorization.

10013147 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 10013147 is about 3164.3557006127. The cubic root of 10013147 is about 215.5378421674.

Adding to 10013147 its reverse (74131001), we get a palindrome (84144148).

The spelling of 10013147 in words is "ten million, thirteen thousand, one hundred forty-seven".