Search a number
-
+
10240204201 = 171075629579
BaseRepresentation
bin10011000100101110…
…10001110110101001
3222102122202021100021
421202113101312221
5131432443013301
64412043040441
7511522204513
oct114227216651
928378667307
1010240204201
114385367a87
121b99510121
13c726b0236
146d200cbb3
153ee0098a1
hex2625d1da9

10240204201 has 8 divisors (see below), whose sum is σ = 10943903520. Its totient is φ = 9547764288.

The previous prime is 10240204153. The next prime is 10240204207.

10240204201 is nontrivially palindromic in base 10.

10240204201 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 a cyclic number.

It is not a de Polignac number, because 10240204201 - 29 = 10240203689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10240204207) 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, 2812971 + ... + 2816608.

It is an arithmetic number, because the mean of its divisors is an integer number (1367987940).

Almost surely, 210240204201 is an apocalyptic number.

It is an amenable number.

10240204201 is a deficient number, since it is larger than the sum of its proper divisors (703699319).

10240204201 is a wasteful number, since it uses less digits than its factorization.

10240204201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5629703.

The product of its (nonzero) digits is 128, while the sum is 16.

The spelling of 10240204201 in words is "ten billion, two hundred forty million, two hundred four thousand, two hundred one".

Divisors: 1 17 107 1819 5629579 95702843 602364953 10240204201