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130103013042144 = 2533150582191021
BaseRepresentation
bin11101100101001111110111…
…111000000110011111100000
3122001122201121200020000211000
4131211033313320012133200
5114023101432314322034
61140412255444552000
736255426643132422
oct3545176770063740
9561581550200730
10130103013042144
11385004180a14aa
1212712a039b2600
13577987a3945ac
14241b03b45c812
1510094280a1599
hex7653f7e067e0

130103013042144 has 48 divisors (see below), whose sum is σ = 379467121375440. Its totient is φ = 43367671013760.

The previous prime is 130103013042091. The next prime is 130103013042239. The reversal of 130103013042144 is 441240310301031.

130103013042144 is a `hidden beast` number, since 1 + 3 + 0 + 10 + 301 + 304 + 2 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75291094647 + ... + 75291096374.

It is an arithmetic number, because the mean of its divisors is an integer number (7905565028655).

Almost surely, 2130103013042144 is an apocalyptic number.

It is an amenable number.

130103013042144 is an abundant number, since it is smaller than the sum of its proper divisors (249364108333296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130103013042144 is a wasteful number, since it uses less digits than its factorization.

130103013042144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150582191040 (or 150582191026 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 130103013042144 its reverse (441240310301031), we get a palindrome (571343323343175).

The spelling of 130103013042144 in words is "one hundred thirty trillion, one hundred three billion, thirteen million, forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 150582191021 301164382042 451746573063 602328764084 903493146126 1204657528168 1355239719189 1806986292252 2409315056336 2710479438378 3613972584504 4065719157567 4818630112672 5420958876756 7227945169008 8131438315134 10841917753512 14455890338016 16262876630268 21683835507024 32525753260536 43367671014048 65051506521072 130103013042144