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10132040209 is a prime number
BaseRepresentation
bin10010110111110101…
…01010101000010001
3222011010012222020111
421123322222220101
5131222300241314
64353220441321
7506036630554
oct113372525021
928133188214
1010132040209
11432a2aa855
121b69249241
13c5616b785
146c18d469b
153e4790ec4
hex25beaaa11

10132040209 has 2 divisors, whose sum is σ = 10132040210. Its totient is φ = 10132040208.

The previous prime is 10132040207. The next prime is 10132040251. The reversal of 10132040209 is 90204023101.

10132040209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9797040400 + 334999809 = 98980^2 + 18303^2 .

It is a cyclic number.

It is not a de Polignac number, because 10132040209 - 21 = 10132040207 is a prime.

Together with 10132040207, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 10132040209.

It is not a weakly prime, because it can be changed into another prime (10132040207) 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 as a sum of consecutive naturals, namely, 5066020104 + 5066020105.

It is an arithmetic number, because the mean of its divisors is an integer number (5066020105).

Almost surely, 210132040209 is an apocalyptic number.

It is an amenable number.

10132040209 is a deficient number, since it is larger than the sum of its proper divisors (1).

10132040209 is an equidigital number, since it uses as much as digits as its factorization.

10132040209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

The spelling of 10132040209 in words is "ten billion, one hundred thirty-two million, forty thousand, two hundred nine".