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130660153 = 13241109173
BaseRepresentation
bin1111100100110…
…11011100111001
3100002212020000221
413302123130321
5231422111103
620544300041
73144410251
oct762333471
9302766027
10130660153
11678329a8
1237911621
13210ba100
14134d2961
15b70e1bd
hex7c9b739

130660153 has 24 divisors (see below), whose sum is σ = 147110040. Its totient is φ = 115914240.

The previous prime is 130660151. The next prime is 130660199. The reversal of 130660153 is 351066031.

It can be written as a sum of positive squares in 12 ways, for example, as 57335184 + 73324969 = 7572^2 + 8563^2 .

It is not a de Polignac number, because 130660153 - 21 = 130660151 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130660151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 755175 + ... + 755347.

It is an arithmetic number, because the mean of its divisors is an integer number (6129585).

Almost surely, 2130660153 is an apocalyptic number.

130660153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130660153 is a deficient number, since it is larger than the sum of its proper divisors (16449887).

130660153 is a wasteful number, since it uses less digits than its factorization.

130660153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 130660153 is about 11430.6672158715. The cubic root of 130660153 is about 507.4357419835.

The spelling of 130660153 in words is "one hundred thirty million, six hundred sixty thousand, one hundred fifty-three".

Divisors: 1 13 41 109 169 173 533 1417 2249 4469 6929 7093 18421 18857 29237 58097 92209 245141 755261 773137 1198717 3186833 10050781 130660153