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10003131 = 328531303
BaseRepresentation
bin100110001010…
…001010111011
3200211012201100
4212022022323
510030100011
6554222443
7151011435
oct46121273
920735640
1010003131
115712556
123424a23
1320c3118
141485655
15d28d56
hex98a2bb

10003131 has 12 divisors (see below), whose sum is σ = 14477008. Its totient is φ = 6655824.

The previous prime is 10003127. The next prime is 10003159. The reversal of 10003131 is 13130001.

10003131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10003131 - 22 = 10003127 is a prime.

It is a super-2 number, since 2×100031312 = 200125259606322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10003121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7026 + ... + 8328.

Almost surely, 210003131 is an apocalyptic number.

10003131 is a deficient number, since it is larger than the sum of its proper divisors (4473877).

10003131 is a wasteful number, since it uses less digits than its factorization.

10003131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 10003131 is about 3162.7726759917. The cubic root of 10003131 is about 215.4659517736.

Adding to 10003131 its reverse (13130001), we get a palindrome (23133132).

The spelling of 10003131 in words is "ten million, three thousand, one hundred thirty-one".

Divisors: 1 3 9 853 1303 2559 3909 7677 11727 1111459 3334377 10003131