Search a number
-
+
130302225 = 32527612
BaseRepresentation
bin1111100010001…
…00000100010001
3100002012001001100
413301010010101
5231324132400
620532455013
73141356604
oct761040421
9302161040
10130302225
1167608a99
123777a469
1320cc3211
141343c33b
15b68d100
hex7c44111

130302225 has 27 divisors (see below), whose sum is σ = 233692849. Its totient is φ = 69403200.

The previous prime is 130302217. The next prime is 130302233. The reversal of 130302225 is 522203031.

The square root of 130302225 is 11415.

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

It is an interprime number because it is at equal distance from previous prime (130302217) and next prime (130302233).

It can be written as a sum of positive squares in 4 ways, for example, as 76895361 + 53406864 = 8769^2 + 7308^2 .

It is not a de Polignac number, because 130302225 - 23 = 130302217 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 130302198 and 130302207.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 170845 + ... + 171605.

Almost surely, 2130302225 is an apocalyptic number.

130302225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

130302225 is the 11415-th square number.

130302225 is the 5708-th centered octagonal number.

It is an amenable number.

130302225 is a deficient number, since it is larger than the sum of its proper divisors (103390624).

130302225 is an frugal number, since it uses more digits than its factorization.

130302225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The cubic root of 130302225 is about 506.9719648842.

Adding to 130302225 its reverse (522203031), we get a palindrome (652505256).

The spelling of 130302225 in words is "one hundred thirty million, three hundred two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 761 2283 3805 6849 11415 19025 34245 57075 171225 579121 1737363 2895605 5212089 8686815 14478025 26060445 43434075 130302225