Search a number
-
+
130673101 = 13172920389
BaseRepresentation
bin1111100100111…
…10100111001101
3100002212212210111
413302132213031
5231423014401
620544440021
73144463066
oct762364715
9302785714
10130673101
11678416a9
1237919011
13210c2c80
14134d756d
15b712e51
hex7c9e9cd

130673101 has 16 divisors (see below), whose sum is σ = 154148400. Its totient is φ = 109605888.

The previous prime is 130673077. The next prime is 130673117. The reversal of 130673101 is 101376031.

It can be written as a sum of positive squares in 8 ways, for example, as 8128201 + 122544900 = 2851^2 + 11070^2 .

It is a cyclic number.

It is not a de Polignac number, because 130673101 - 25 = 130673069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130673171) 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 15 ways as a sum of consecutive naturals, for example, 3786 + ... + 16603.

It is an arithmetic number, because the mean of its divisors is an integer number (9634275).

Almost surely, 2130673101 is an apocalyptic number.

It is an amenable number.

130673101 is a deficient number, since it is larger than the sum of its proper divisors (23475299).

130673101 is a wasteful number, since it uses less digits than its factorization.

130673101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20448.

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 130673101 is about 11431.2335729789. The cubic root of 130673101 is about 507.4525031787.

The spelling of 130673101 in words is "one hundred thirty million, six hundred seventy-three thousand, one hundred one".

Divisors: 1 13 17 29 221 377 493 6409 20389 265057 346613 591281 4505969 7686653 10051777 130673101