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10013067 = 3259109173
BaseRepresentation
bin100110001100…
…100110001011
3200211201100100
4212030212023
510030404232
6554340443
7151052421
oct46144613
920751310
1010013067
115719a69
12342a723
1320c77bc
141489111
15d2bc7c
hex98c98b

10013067 has 24 divisors (see below), whose sum is σ = 14929200. Its totient is φ = 6464448.

The previous prime is 10013063. The next prime is 10013071. The reversal of 10013067 is 76031001.

It is an interprime number because it is at equal distance from previous prime (10013063) and next prime (10013071).

It is not a de Polignac number, because 10013067 - 22 = 10013063 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10013063) 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 23 ways as a sum of consecutive naturals, for example, 57793 + ... + 57965.

It is an arithmetic number, because the mean of its divisors is an integer number (622050).

Almost surely, 210013067 is an apocalyptic number.

10013067 is a deficient number, since it is larger than the sum of its proper divisors (4916133).

10013067 is a wasteful number, since it uses less digits than its factorization.

10013067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 10013067 is about 3164.3430597835. The cubic root of 10013067 is about 215.5372681529.

Adding to 10013067 its reverse (76031001), we get a palindrome (86044068).

The spelling of 10013067 in words is "ten million, thirteen thousand, sixty-seven".

Divisors: 1 3 9 59 109 173 177 327 519 531 981 1557 6431 10207 18857 19293 30621 56571 57879 91863 169713 1112563 3337689 10013067