Search a number
-
+
10242224201 = 112391921599
BaseRepresentation
bin10011000100111101…
…11111000001001001
3222102210112220021002
421202132333001021
5131434002133301
64412154224345
7511545316646
oct114236770111
928383486232
1010242224201
114386517700
121b9a1250b5
13c72c397c1
146d23b6dcd
153ee2a816b
hex2627bf049

10242224201 has 12 divisors (see below), whose sum is σ = 11261376000. Its totient is φ = 9308306040.

The previous prime is 10242224197. The next prime is 10242224203.

10242224201 is nontrivially palindromic in base 10.

10242224201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10242224201 - 22 = 10242224197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10242224203) 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 11 ways as a sum of consecutive naturals, for example, 463400 + ... + 484998.

It is an arithmetic number, because the mean of its divisors is an integer number (938448000).

Almost surely, 210242224201 is an apocalyptic number.

10242224201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10242224201 is a deficient number, since it is larger than the sum of its proper divisors (1019151799).

10242224201 is a wasteful number, since it uses less digits than its factorization.

10242224201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25540 (or 25529 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The spelling of 10242224201 in words is "ten billion, two hundred forty-two million, two hundred twenty-four thousand, two hundred one".

Divisors: 1 11 121 3919 21599 43109 237589 474199 2613479 84646481 931111291 10242224201