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10240140313 = 133721289273
BaseRepresentation
bin10011000100101110…
…00010010000011001
3222102122122000201001
421202113002100121
5131432433442223
64412041425001
7511521520324
oct114227022031
928378560631
1010240140313
114385323a87
121b9949b161
13c7268a130
146d1dd37bb
153edee59ad
hex2625c2419

10240140313 has 8 divisors (see below), whose sum is σ = 11325893768. Its totient is φ = 9196965504.

The previous prime is 10240140311. The next prime is 10240140331. The reversal of 10240140313 is 31304104201.

It can be written as a sum of positive squares in 4 ways, for example, as 3444281344 + 6795858969 = 58688^2 + 82437^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10240140313 - 21 = 10240140311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10240140311) 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, 10644156 + ... + 10645117.

It is an arithmetic number, because the mean of its divisors is an integer number (1415736721).

Almost surely, 210240140313 is an apocalyptic number.

10240140313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10240140313 is a deficient number, since it is larger than the sum of its proper divisors (1085753455).

10240140313 is a wasteful number, since it uses less digits than its factorization.

10240140313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21289323.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10240140313 its reverse (31304104201), we get a palindrome (41544244514).

The spelling of 10240140313 in words is "ten billion, two hundred forty million, one hundred forty thousand, three hundred thirteen".

Divisors: 1 13 37 481 21289273 276760549 787703101 10240140313