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10243434201 = 37112131722937
BaseRepresentation
bin10011000101000111…
…00110011011011001
3222102212211101001220
421202203212123121
5131434304343301
64412240202253
7511561516440
oct114243463331
928385741056
1010243434201
114387173800
121b9a609389
13c73271490
146d260dd57
153ee446936
hex2628e66d9

10243434201 has 288 divisors, whose sum is σ = 20853208320. Its totient is φ = 4342947840.

The previous prime is 10243434199. The next prime is 10243434233.

10243434201 is nontrivially palindromic in base 10.

10243434201 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 10243434201 - 21 = 10243434199 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10243434001) 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 287 ways as a sum of consecutive naturals, for example, 276849555 + ... + 276849591.

Almost surely, 210243434201 is an apocalyptic number.

10243434201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10243434201 is an abundant number, since it is smaller than the sum of its proper divisors (10609774119).

10243434201 is a wasteful number, since it uses less digits than its factorization.

10243434201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 10243 and 434201, that added together give a palindrome (444444).

The spelling of 10243434201 in words is "ten billion, two hundred forty-three million, four hundred thirty-four thousand, two hundred one".