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10232223201 = 323730727397
BaseRepresentation
bin10011000011110001…
…10101010111100001
3222102002201210110200
421201320311113201
5131423422120301
64411200015413
7511364314344
oct114170652741
928362653420
1010232223201
114380906812
121b96901569
13c70b47655
146d0d3245b
153ed47ec86
hex261e355e1

10232223201 has 12 divisors (see below), whose sum is σ = 15179334612. Its totient is φ = 6637117536.

The previous prime is 10232223161. The next prime is 10232223203.

10232223201 is a `hidden beast` number, since 10 + 232 + 223 + 201 = 666.

10232223201 is nontrivially palindromic in base 10.

10232223201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6276442176 + 3955781025 = 79224^2 + 62895^2 .

It is not a de Polignac number, because 10232223201 - 27 = 10232223073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10232223203) 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, 15363366 + ... + 15364031.

It is an arithmetic number, because the mean of its divisors is an integer number (1264944551).

Almost surely, 210232223201 is an apocalyptic number.

It is an amenable number.

10232223201 is a deficient number, since it is larger than the sum of its proper divisors (4947111411).

10232223201 is a wasteful number, since it uses less digits than its factorization.

10232223201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30727440 (or 30727437 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The spelling of 10232223201 in words is "ten billion, two hundred thirty-two million, two hundred twenty-three thousand, two hundred one".

Divisors: 1 3 9 37 111 333 30727397 92182191 276546573 1136913689 3410741067 10232223201