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130335312501 = 3241353212229
BaseRepresentation
bin111100101100010010…
…1110000101001110101
3110110102021212212220100
41321120211300221311
54113411320000001
6135513014024313
712262554606552
oct1713045605165
9413367785810
10130335312501
11503029823a9
1221315048099
13c3a14b76b4
146445c31a29
1535cc4ea586
hex1e58970a75

130335312501 has 12 divisors (see below), whose sum is σ = 192853877580. Its totient is φ = 84770934720.

The previous prime is 130335312473. The next prime is 130335312521. The reversal of 130335312501 is 105213533031.

130335312501 is a `hidden beast` number, since 1 + 303 + 353 + 1 + 2 + 5 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61342410276 + 68992902225 = 247674^2 + 262665^2 .

It is not a de Polignac number, because 130335312501 - 29 = 130335311989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130335312521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176605746 + ... + 176606483.

It is an arithmetic number, because the mean of its divisors is an integer number (16071156465).

Almost surely, 2130335312501 is an apocalyptic number.

It is an amenable number.

130335312501 is a deficient number, since it is larger than the sum of its proper divisors (62518565079).

130335312501 is a wasteful number, since it uses less digits than its factorization.

130335312501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353212276 (or 353212273 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

Adding to 130335312501 its reverse (105213533031), we get a palindrome (235548845532).

The spelling of 130335312501 in words is "one hundred thirty billion, three hundred thirty-five million, three hundred twelve thousand, five hundred one".

Divisors: 1 3 9 41 123 369 353212229 1059636687 3178910061 14481701389 43445104167 130335312501