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10003131021 = 313673828217
BaseRepresentation
bin10010101000011101…
…11010101010001101
3221211010122201002010
421110032322222031
5130441300143041
64332333451433
7502613132202
oct112416725215
927733581063
1010003131021
114273563434
121b32040b79
13c35545650
146ac739ca9
153d82caa16
hex2543baa8d

10003131021 has 16 divisors (see below), whose sum is σ = 14577854144. Its totient is φ = 6063894144.

The previous prime is 10003130989. The next prime is 10003131029. The reversal of 10003131021 is 12013130001.

10003131021 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10003131021 - 25 = 10003130989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10003130988 and 10003131006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003131029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1911496 + ... + 1916721.

It is an arithmetic number, because the mean of its divisors is an integer number (911115884).

Almost surely, 210003131021 is an apocalyptic number.

It is an amenable number.

10003131021 is a deficient number, since it is larger than the sum of its proper divisors (4574723123).

10003131021 is a wasteful number, since it uses less digits than its factorization.

10003131021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3828300.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10003131021 its reverse (12013130001), we get a palindrome (22016261022).

The spelling of 10003131021 in words is "ten billion, three million, one hundred thirty-one thousand, twenty-one".

Divisors: 1 3 13 39 67 201 871 2613 3828217 11484651 49766821 149300463 256490539 769471617 3334377007 10003131021