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10003147 = 711163797
BaseRepresentation
bin100110001010…
…001011001011
3200211012201221
4212022023023
510030100042
6554222511
7151011460
oct46121313
920735657
1010003147
115712570
123424a37
1320c312b
141485667
15d28d67
hex98a2cb

10003147 has 16 divisors (see below), whose sum is σ = 12563712. Its totient is φ = 7737120.

The previous prime is 10003127. The next prime is 10003159. The reversal of 10003147 is 74130001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10003147 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10003147.

It is not an unprimeable number, because it can be changed into a prime (10003127) 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 15 ways as a sum of consecutive naturals, for example, 12153 + ... + 12949.

It is an arithmetic number, because the mean of its divisors is an integer number (785232).

Almost surely, 210003147 is an apocalyptic number.

10003147 is a deficient number, since it is larger than the sum of its proper divisors (2560565).

10003147 is a wasteful number, since it uses less digits than its factorization.

10003147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978.

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 10003147 is about 3162.7752054169. The cubic root of 10003147 is about 215.4660666528.

Adding to 10003147 its reverse (74130001), we get a palindrome (84133148).

The spelling of 10003147 in words is "ten million, three thousand, one hundred forty-seven".

Divisors: 1 7 11 77 163 797 1141 1793 5579 8767 12551 61369 129911 909377 1429021 10003147