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130065925 = 52112193173
BaseRepresentation
bin1111100000010…
…10011000000101
3100001202000220111
413300022120011
5231244102200
620523433021
73136353643
oct760123005
9301660814
10130065925
1167467500
1237685771
1320c3c7b2
14133ba193
15b6430ba
hex7c0a605

130065925 has 72 divisors (see below), whose sum is σ = 195265280. Its totient is φ = 85536000.

The previous prime is 130065919. The next prime is 130065931. The reversal of 130065925 is 529560031.

It is an interprime number because it is at equal distance from previous prime (130065919) and next prime (130065931).

It is not a de Polignac number, because 130065925 - 27 = 130065797 is a prime.

It is a super-2 number, since 2×1300659252 = 33834289692211250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1781689 + ... + 1781761.

Almost surely, 2130065925 is an apocalyptic number.

It is an amenable number.

130065925 is a deficient number, since it is larger than the sum of its proper divisors (65199355).

130065925 is a wasteful number, since it uses less digits than its factorization.

130065925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

The square root of 130065925 is about 11404.6448870625. The cubic root of 130065925 is about 506.6653188926.

Adding to 130065925 its product of nonzero digits (8100), we get a square (130074025 = 114052).

The spelling of 130065925 in words is "one hundred thirty million, sixty-five thousand, nine hundred twenty-five".

Divisors: 1 5 11 19 25 31 55 73 95 121 155 209 275 341 365 475 589 605 775 803 1045 1387 1705 1825 2263 2299 2945 3025 3751 4015 5225 6479 6935 8525 8833 11315 11495 14725 15257 18755 20075 24893 32395 34675 42997 44165 56575 57475 71269 76285 93775 124465 161975 167827 214985 220825 273823 356345 381425 472967 622325 839135 1074925 1369115 1781725 2364835 4195675 5202637 6845575 11824175 26013185 130065925