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130311225 = 325211371423
BaseRepresentation
bin1111100010001…
…10010000111001
3100002012111101200
413301012100321
5231324424400
620533004413
73141425052
oct761062071
9302174350
10130311225
1167614830
1237783709
1320cc7345
1413441729
15b690b00
hex7c46439

130311225 has 72 divisors (see below), whose sum is σ = 261685632. Its totient is φ = 61430400.

The previous prime is 130311187. The next prime is 130311227. The reversal of 130311225 is 522113031.

130311225 is a `hidden beast` number, since 130 + 311 + 225 = 666.

It is not a de Polignac number, because 130311225 - 218 = 130049081 is a prime.

It is a super-2 number, since 2×1303112252 = 33962030722001250, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 130311198 and 130311207.

It is not an unprimeable number, because it can be changed into a prime (130311227) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 90864 + ... + 92286.

Almost surely, 2130311225 is an apocalyptic number.

130311225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130311225 is an abundant number, since it is smaller than the sum of its proper divisors (131374407).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130311225 is a wasteful number, since it uses less digits than its factorization.

130311225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 130311225 is about 11415.3942113271. The cubic root of 130311225 is about 506.9836368329.

Adding to 130311225 its reverse (522113031), we get a palindrome (652424256).

The spelling of 130311225 in words is "one hundred thirty million, three hundred eleven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 37 45 55 75 99 111 165 185 225 275 333 407 495 555 825 925 1221 1423 1665 2035 2475 2775 3663 4269 6105 7115 8325 10175 12807 15653 18315 21345 30525 35575 46959 52651 64035 78265 91575 106725 140877 157953 234795 263255 320175 391325 473859 579161 704385 789765 1173975 1316275 1737483 2369295 2895805 3521925 3948825 5212449 8687415 11846475 14479025 26062245 43437075 130311225