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2130410225 = 52412078449
BaseRepresentation
bin111111011111011…
…0111101011110001
312111110202001102102
41332332313223301
513330341111400
6551222030145
7103536121346
oct17676675361
95443661372
102130410225
119a3619809
124b5578355
1327c4a7788
14162d247cd
15c70729d5
hex7efb7af1

2130410225 has 12 divisors (see below), whose sum is σ = 2706141900. Its totient is φ = 1662758400.

The previous prime is 2130410203. The next prime is 2130410257. The reversal of 2130410225 is 5220140312.

It can be written as a sum of positive squares in 6 ways, for example, as 253701184 + 1876709041 = 15928^2 + 43321^2 .

It is not a de Polignac number, because 2130410225 - 28 = 2130409969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2130410197 and 2130410206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1038200 + ... + 1040249.

It is an arithmetic number, because the mean of its divisors is an integer number (225511825).

Almost surely, 22130410225 is an apocalyptic number.

2130410225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2130410225 is a deficient number, since it is larger than the sum of its proper divisors (575731675).

2130410225 is a wasteful number, since it uses less digits than its factorization.

2130410225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078500 (or 2078495 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2130410225 is about 46156.3671122414. The cubic root of 2130410225 is about 1286.7309461281.

Adding to 2130410225 its reverse (5220140312), we get a palindrome (7350550537).

The spelling of 2130410225 in words is "two billion, one hundred thirty million, four hundred ten thousand, two hundred twenty-five".

Divisors: 1 5 25 41 205 1025 2078449 10392245 51961225 85216409 426082045 2130410225