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130348124001 = 321910319138747
BaseRepresentation
bin111100101100101011…
…0101000011101100001
3110110110011222202222100
41321121112220131201
54113423104432001
6135514152401013
712263101526064
oct1713126503541
9413404882870
10130348124001
115030a132917
12213193a6169
13c3a4051b74
1464478088db
1535cd6cb586
hex1e595a8761

130348124001 has 48 divisors (see below), whose sum is σ = 201167216640. Its totient is φ = 81096927840.

The previous prime is 130348123991. The next prime is 130348124009. The reversal of 130348124001 is 100421843031.

It is not a de Polignac number, because 130348124001 - 233 = 121758189409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130348124009) 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 47 ways as a sum of consecutive naturals, for example, 3344710 + ... + 3383456.

It is an arithmetic number, because the mean of its divisors is an integer number (4190983680).

Almost surely, 2130348124001 is an apocalyptic number.

It is an amenable number.

130348124001 is a deficient number, since it is larger than the sum of its proper divisors (70819092639).

130348124001 is a wasteful number, since it uses less digits than its factorization.

130348124001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39066 (or 39063 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 130348124001 its reverse (100421843031), we get a palindrome (230769967032).

The spelling of 130348124001 in words is "one hundred thirty billion, three hundred forty-eight million, one hundred twenty-four thousand, one".

Divisors: 1 3 9 19 57 103 171 191 309 573 927 1719 1957 3629 5871 10887 17613 19673 32661 38747 59019 116241 177057 348723 373787 736193 1121361 2208579 3364083 3990941 6625737 7400677 11972823 22202031 35918469 66606093 75827879 140612863 227483637 421838589 682450911 762269731 1265515767 2286809193 6860427579 14483124889 43449374667 130348124001