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10434418201 = 1021492
BaseRepresentation
bin10011011011111000…
…01001011000011001
3222221012012100212101
421231330021120121
5132332202340301
64443221443401
7516401043214
oct115574113031
928835170771
1010434418201
114474a58919
122032570561
13ca39bca6c
1470db2677b
154110be701
hex26df09619

10434418201 has 3 divisors (see below), whose sum is σ = 10434520351. Its totient is φ = 10434316052.

The previous prime is 10434418187. The next prime is 10434418213. The reversal of 10434418201 is 10281443401.

The square root of 10434418201 is 102149.

It is a perfect power (a square), and thus also a powerful number.

10434418201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 10281443401 = 37927127819.

It can be written as a sum of positive squares in only one way, i.e., 896942601 + 9537475600 = 29949^2 + 97660^2 .

It is not a de Polignac number, because 10434418201 - 227 = 10300200473 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10434418201.

It is not an unprimeable number, because it can be changed into a prime (10434419201) 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 2 ways as a sum of consecutive naturals, for example, 51075 + ... + 153223.

Almost surely, 210434418201 is an apocalyptic number.

10434418201 is the 102149-th square number.

10434418201 is the 51075-th centered octagonal number.

It is an amenable number.

10434418201 is a deficient number, since it is larger than the sum of its proper divisors (102150).

10434418201 is an frugal number, since it uses more digits than its factorization.

10434418201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204298 (or 102149 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The spelling of 10434418201 in words is "ten billion, four hundred thirty-four million, four hundred eighteen thousand, two hundred one".

Divisors: 1 102149 10434418201