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210105025 = 521322232
BaseRepresentation
bin11001000010111…
…11001011000001
3112122100102220121
430201133023001
5412241330100
632503140241
75130602044
oct1441371301
9478312817
10210105025
11a8665019
125a444681
13346b4900
141dc92c5b
15136a351a
hexc85f2c1

210105025 has 27 divisors (see below), whose sum is σ = 283383369. Its totient is φ = 154458720.

The previous prime is 210105001. The next prime is 210105037. The reversal of 210105025 is 520501012.

The square root of 210105025 is 14495.

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

It can be written as a sum of positive squares in 4 ways, for example, as 54154881 + 155950144 = 7359^2 + 12488^2 .

It is a de Polignac number, because none of the positive numbers 2k-210105025 is a prime.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 942064 + ... + 942286.

Almost surely, 2210105025 is an apocalyptic number.

210105025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

210105025 is the 14495-th square number.

210105025 is the 7248-th centered octagonal number.

It is an amenable number.

210105025 is a deficient number, since it is larger than the sum of its proper divisors (73278344).

210105025 is an equidigital number, since it uses as much as digits as its factorization.

210105025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The cubic root of 210105025 is about 594.4912677150.

Multiplying 210105025 by its sum of digits (16), we get a square (3361680400 = 579802).

Multiplying 210105025 by its product of nonzero digits (100), we get a square (21010502500 = 1449502).

Adding to 210105025 its reverse (520501012), we get a palindrome (730606037).

The spelling of 210105025 in words is "two hundred ten million, one hundred five thousand, twenty-five".

Divisors: 1 5 13 25 65 169 223 325 845 1115 2899 4225 5575 14495 37687 49729 72475 188435 248645 646477 942175 1243225 3232385 8404201 16161925 42021005 210105025