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130253025 = 3527223267
BaseRepresentation
bin1111100001110…
…00000011100001
3100002002112120010
413300320003201
5231321044100
620531435133
73141063300
oct760700341
9302075503
10130253025
1167585031
1237755aa9
1320ca69c6
1413428437
15b67d750
hex7c380e1

130253025 has 108 divisors (see below), whose sum is σ = 265785072. Its totient is φ = 56105280.

The previous prime is 130253021. The next prime is 130253047. The reversal of 130253025 is 520352031.

It is not a de Polignac number, because 130253025 - 22 = 130253021 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 130252992 and 130253010.

It is not an unprimeable number, because it can be changed into a prime (130253021) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1944042 + ... + 1944108.

Almost surely, 2130253025 is an apocalyptic number.

130253025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130253025 is an abundant number, since it is smaller than the sum of its proper divisors (135532047).

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

130253025 is a wasteful number, since it uses less digits than its factorization.

130253025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 130253025 is about 11412.8447374000. The cubic root of 130253025 is about 506.9081487299.

The spelling of 130253025 in words is "one hundred thirty million, two hundred fifty-three thousand, twenty-five".

Divisors: 1 3 5 7 15 21 23 25 35 49 67 69 75 105 115 147 161 175 201 245 335 345 469 483 525 529 575 735 805 1005 1127 1225 1407 1541 1587 1675 1725 2345 2415 2645 3283 3381 3675 3703 4025 4623 5025 5635 7035 7705 7935 9849 10787 11109 11725 12075 13225 16415 16905 18515 23115 25921 28175 32361 35175 35443 38525 39675 49245 53935 55545 75509 77763 82075 84525 92575 106329 115575 129605 161805 177215 226527 246225 248101 269675 277725 377545 388815 531645 648025 744303 809025 886075 1132635 1240505 1736707 1887725 1944075 2658225 3721515 5210121 5663175 6202525 8683535 18607575 26050605 43417675 130253025