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10131440313 = 34378538297
BaseRepresentation
bin10010110111110000…
…11000001010111001
3222011002002111100010
421123320120022321
5131222122042223
64353155532133
7506031551601
oct113370301271
928132074303
1010131440313
114329a30075
121b68bba049
13c55cbb6c7
146c17b9c01
153e46c3393
hex25be182b9

10131440313 has 8 divisors (see below), whose sum is σ = 13822740448. Its totient is φ = 6597216864.

The previous prime is 10131440287. The next prime is 10131440317. The reversal of 10131440313 is 31304413101.

10131440313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 10131440313 - 229 = 9594569401 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10131440313.

It is not an unprimeable number, because it can be changed into a prime (10131440317) 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 7 ways as a sum of consecutive naturals, for example, 39269020 + ... + 39269277.

It is an arithmetic number, because the mean of its divisors is an integer number (1727842556).

Almost surely, 210131440313 is an apocalyptic number.

It is an amenable number.

10131440313 is a deficient number, since it is larger than the sum of its proper divisors (3691300135).

10131440313 is an equidigital number, since it uses as much as digits as its factorization.

10131440313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78538343.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10131440313 its reverse (31304413101), we get a palindrome (41435853414).

The spelling of 10131440313 in words is "ten billion, one hundred thirty-one million, four hundred forty thousand, three hundred thirteen".

Divisors: 1 3 43 129 78538297 235614891 3377146771 10131440313