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130105402401 = 313101214315413
BaseRepresentation
bin111100100101011100…
…0101110010000100001
3110102211021021020112110
41321022320232100201
54112423440334101
6135434122145533
712254063446662
oct1711270562041
9412737236473
10130105402401
11501a5120557
12212700522a9
13c36598a310
1464234a5369
1535b7233cd6
hex1e4ae2e421

130105402401 has 32 divisors (see below), whose sum is σ = 188767982592. Its totient is φ = 79230009600.

The previous prime is 130105402391. The next prime is 130105402403. The reversal of 130105402401 is 104204501031.

It is not a de Polignac number, because 130105402401 - 25 = 130105402369 is a prime.

It is a super-2 number, since 2×1301054024012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130105402403) 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 31 ways as a sum of consecutive naturals, for example, 8433571 + ... + 8448983.

It is an arithmetic number, because the mean of its divisors is an integer number (5898999456).

Almost surely, 2130105402401 is an apocalyptic number.

It is an amenable number.

130105402401 is a deficient number, since it is larger than the sum of its proper divisors (58662580191).

130105402401 is a wasteful number, since it uses less digits than its factorization.

130105402401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17673.

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 130105402401 its reverse (104204501031), we get a palindrome (234309903432).

The spelling of 130105402401 in words is "one hundred thirty billion, one hundred five million, four hundred two thousand, four hundred one".

Divisors: 1 3 13 39 101 303 1313 2143 3939 6429 15413 27859 46239 83577 200369 216443 601107 649329 1556713 2813759 4670139 8441277 20237269 33030059 60711807 99090177 429390767 1288172301 3336035959 10008107877 43368467467 130105402401