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10009731001 = 27736136213
BaseRepresentation
bin10010101001010000…
…00101111110111001
3221211121002000112211
421110220011332321
5130444442343001
64333131135121
7503023211134
oct112450057671
927747060484
1010009731001
114277261066
121b342a44a1
13c36a1676a
146ad57721b
153d8b81351
hex254a05fb9

10009731001 has 4 divisors (see below), whose sum is σ = 10045867492. Its totient is φ = 9973594512.

The previous prime is 10009730999. The next prime is 10009731007. The reversal of 10009731001 is 10013790001.

10009731001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1304654400 + 8705076601 = 36120^2 + 93301^2 .

It is a cyclic number.

It is not a de Polignac number, because 10009731001 - 21 = 10009730999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10009731007) 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 3 ways as a sum of consecutive naturals, for example, 18067830 + ... + 18068383.

It is an arithmetic number, because the mean of its divisors is an integer number (2511466873).

Almost surely, 210009731001 is an apocalyptic number.

It is an amenable number.

10009731001 is a deficient number, since it is larger than the sum of its proper divisors (36136491).

10009731001 is an equidigital number, since it uses as much as digits as its factorization.

10009731001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36136490.

The product of its (nonzero) digits is 189, while the sum is 22.

The spelling of 10009731001 in words is "ten billion, nine million, seven hundred thirty-one thousand, one".

Divisors: 1 277 36136213 10009731001