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2130133225 = 5211193113151
BaseRepresentation
bin111111011110111…
…0100000011101001
312111110012222110011
41332331310003221
513330303230400
6551212051521
7103533555643
oct17675640351
95443188404
102130133225
119a344a690
124b5463ba1
1327c40b67c
14162c91893
15c701a8ba
hex7ef740e9

2130133225 has 48 divisors (see below), whose sum is σ = 3131228160. Its totient is φ = 1420200000.

The previous prime is 2130133219. The next prime is 2130133273. The reversal of 2130133225 is 5223310312.

It is not a de Polignac number, because 2130133225 - 25 = 2130133193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2130133196 and 2130133205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155400 + ... + 168550.

It is an arithmetic number, because the mean of its divisors is an integer number (65233920).

Almost surely, 22130133225 is an apocalyptic number.

2130133225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2130133225 is a deficient number, since it is larger than the sum of its proper divisors (1001094935).

2130133225 is a wasteful number, since it uses less digits than its factorization.

2130133225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13222 (or 13217 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 2130133225 is about 46153.3663452624. The cubic root of 2130133225 is about 1286.6751759738.

Adding to 2130133225 its reverse (5223310312), we get a palindrome (7353443537).

The spelling of 2130133225 in words is "two billion, one hundred thirty million, one hundred thirty-three thousand, two hundred twenty-five".

Divisors: 1 5 11 19 25 31 55 95 155 209 275 341 475 589 775 1045 1705 2945 5225 6479 8525 13151 14725 32395 65755 144661 161975 249869 328775 407681 723305 1249345 2038405 2748559 3616525 4484491 6246725 7745939 10192025 13742795 22422455 38729695 68713975 85205329 112112275 193648475 426026645 2130133225