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13023130310300 = 22521134734118759
BaseRepresentation
bin1011110110000010111100…
…0011100101011010011100
31201002222222100021000222202
42331200233003211122130
53201332332324412200
643410424331231032
72512614211113365
oct275405703453234
951088870230882
1013023130310300
114171095603220
121563b77ba8478
137360caa41366
14330473d54b6c
15178b651371d5
hexbd82f0e569c

13023130310300 has 72 divisors (see below), whose sum is σ = 30918147361920. Its totient is φ = 4722036107200.

The previous prime is 13023130310261. The next prime is 13023130310303. The reversal of 13023130310300 is 301303132031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13023130310303) 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 23 ways as a sum of consecutive naturals, for example, 16677680 + ... + 17441079.

It is an arithmetic number, because the mean of its divisors is an integer number (429418713360).

Almost surely, 213023130310300 is an apocalyptic number.

13023130310300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13023130310300 is an abundant number, since it is smaller than the sum of its proper divisors (17895017051620).

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

13023130310300 is a wasteful number, since it uses less digits than its factorization.

13023130310300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34119131 (or 34119124 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 13023130310300 its reverse (301303132031), we get a palindrome (13324433442331).

The spelling of 13023130310300 in words is "thirteen trillion, twenty-three billion, one hundred thirty million, three hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 347 550 694 1100 1388 1735 3470 3817 6940 7634 8675 15268 17350 19085 34700 38170 76340 95425 190850 381700 34118759 68237518 136475036 170593795 341187590 375306349 682375180 750612698 852968975 1501225396 1705937950 1876531745 3411875900 3753063490 7506126980 9382658725 11839209373 18765317450 23678418746 37530634900 47356837492 59196046865 118392093730 130231303103 236784187460 260462606206 295980234325 520925212412 591960468650 651156515515 1183920937300 1302313031030 2604626062060 3255782577575 6511565155150 13023130310300