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10011131 = 134317909
BaseRepresentation
bin100110001100…
…000111111011
3200211121200122
4212030013323
510030324011
6554323455
7151043654
oct46140773
920747618
1010011131
115718569
12342958b
1320c6960
14148852b
15d2b3db
hex98c1fb

10011131 has 8 divisors (see below), whose sum is σ = 11032560. Its totient is φ = 9025632.

The previous prime is 10011121. The next prime is 10011163. The reversal of 10011131 is 13111001.

10011131 is nontrivially palindromic in base 6.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10011131 is a prime.

It is a super-2 number, since 2×100111312 = 200445487798322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10011101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8396 + ... + 9513.

It is an arithmetic number, because the mean of its divisors is an integer number (1379070).

Almost surely, 210011131 is an apocalyptic number.

10011131 is a deficient number, since it is larger than the sum of its proper divisors (1021429).

10011131 is a wasteful number, since it uses less digits than its factorization.

10011131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17965.

The product of its (nonzero) digits is 3, while the sum is 8.

The square root of 10011131 is about 3164.0371363181. The cubic root of 10011131 is about 215.5233760708.

Adding to 10011131 its reverse (13111001), we get a palindrome (23122132).

The spelling of 10011131 in words is "ten million, eleven thousand, one hundred thirty-one".

Divisors: 1 13 43 559 17909 232817 770087 10011131