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130141125 = 3253293989
BaseRepresentation
bin1111100000111…
…00101111000101
3100001212212001200
413300130233011
5231304004000
620525213113
73140116122
oct760345705
9301785050
10130141125
1167508a54
1237701199
1320c67aaa
14133d9749
15b65a500
hex7c1cbc5

130141125 has 48 divisors (see below), whose sum is σ = 242751600. Its totient is φ = 66998400.

The previous prime is 130141087. The next prime is 130141133. The reversal of 130141125 is 521141031.

It can be written as a sum of positive squares in 8 ways, for example, as 42419169 + 87721956 = 6513^2 + 9366^2 .

It is not a de Polignac number, because 130141125 - 29 = 130140613 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 130141098 and 130141107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30631 + ... + 34619.

It is an arithmetic number, because the mean of its divisors is an integer number (5057325).

Almost surely, 2130141125 is an apocalyptic number.

130141125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130141125 is a deficient number, since it is larger than the sum of its proper divisors (112610475).

130141125 is a wasteful number, since it uses less digits than its factorization.

130141125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4039 (or 4026 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 130141125 is about 11407.9413129627. The cubic root of 130141125 is about 506.7629460289.

Adding to 130141125 its reverse (521141031), we get a palindrome (651282156).

The spelling of 130141125 in words is "one hundred thirty million, one hundred forty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 125 145 225 261 375 435 725 1125 1305 2175 3625 3989 6525 10875 11967 19945 32625 35901 59835 99725 115681 179505 299175 347043 498625 578405 897525 1041129 1495875 1735215 2892025 4487625 5205645 8676075 14460125 26028225 43380375 130141125