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130121011310301 = 32119671733784309
BaseRepresentation
bin11101100101100000101000…
…101010000010111011011101
3122001201110002000010210012100
4131211200220222002323131
5114023400312343412201
61140424433430155313
736256634650652424
oct3545405052027335
9561643060123170
10130121011310301
1138508013700790
12127163a74b2b39
13577b4881397cb
14241bc679582bb
151009b2d216886
hex765828a82edd

130121011310301 has 48 divisors (see below), whose sum is σ = 205369904488320. Its totient is φ = 78734107589760.

The previous prime is 130121011310287. The next prime is 130121011310327. The reversal of 130121011310301 is 103013110121031.

130121011310301 is a `hidden beast` number, since 1 + 30 + 1 + 2 + 10 + 11 + 310 + 301 = 666.

It is not a de Polignac number, because 130121011310301 - 221 = 130121009213149 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130121011310201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165513135 + ... + 166297443.

It is an arithmetic number, because the mean of its divisors is an integer number (4278539676840).

Almost surely, 2130121011310301 is an apocalyptic number.

130121011310301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

130121011310301 is a deficient number, since it is larger than the sum of its proper divisors (75248893178019).

130121011310301 is a wasteful number, since it uses less digits than its factorization.

130121011310301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787026 (or 787023 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 130121011310301 its reverse (103013110121031), we get a palindrome (233134121431332).

The spelling of 130121011310301 in words is "one hundred thirty trillion, one hundred twenty-one billion, eleven million, three hundred ten thousand, three hundred one".

Divisors: 1 3 9 11 33 99 967 1733 2901 5199 8703 10637 15597 19063 31911 57189 95733 171567 784309 1675811 2352927 5027433 7058781 8627399 15082299 18433921 25882197 55301763 77646591 165905289 758426803 1359207497 2275280409 4077622491 6825841227 8342694833 12232867473 14951282467 25028084499 44853847401 75084253497 134561542203 1314353649599 3943060948797 11829182846391 14457890145589 43373670436767 130121011310301