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10003330131 = 323439330241
BaseRepresentation
bin10010101000011111…
…01011010001010011
3221211011000211012120
421110033223101103
5130441323031011
64332342025323
7502614621534
oct112417532123
927734024176
1010003330131
114273689a93
121b32118243
13c355b5172
146ac78c68b
153d8319a06
hex2543eb453

10003330131 has 16 divisors (see below), whose sum is σ = 13949422080. Its totient is φ = 6364385280.

The previous prime is 10003330123. The next prime is 10003330147. The reversal of 10003330131 is 13103330001.

10003330131 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 10003330131 - 23 = 10003330123 is a prime.

It is a super-2 number, since 2×100033301312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10003330131.

It is not an unprimeable number, because it can be changed into a prime (10003330231) 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, 134830 + ... + 195411.

It is an arithmetic number, because the mean of its divisors is an integer number (871838880).

Almost surely, 210003330131 is an apocalyptic number.

10003330131 is a deficient number, since it is larger than the sum of its proper divisors (3946091949).

10003330131 is a wasteful number, since it uses less digits than its factorization.

10003330131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330706.

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 10003330131 its reverse (13103330001), we get a palindrome (23106660132).

The spelling of 10003330131 in words is "ten billion, three million, three hundred thirty thousand, one hundred thirty-one".

Divisors: 1 3 23 69 439 1317 10097 30291 330241 990723 7595543 22786629 144975799 434927397 3334443377 10003330131