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20012443001313 = 3717210132648377
BaseRepresentation
bin1001000110011100000101…
…00011100110000111100001
32121212011121120011110120020
410203032002203212013201
510110340440402020223
6110321331150504053
74133564664545430
oct443160243460741
977764546143506
1020012443001313
1164162583950a4
1222b2666805029
13b2221c1647c9
144d2870a35117
1524a8824611e3
hex1233828e61e1

20012443001313 has 48 divisors (see below), whose sum is σ = 32715241878144. Its totient is φ = 10656429926400.

The previous prime is 20012443001297. The next prime is 20012443001329. The reversal of 20012443001313 is 31310034421002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20012443001297) and next prime (20012443001329).

It is not a de Polignac number, because 20012443001313 - 24 = 20012443001297 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20012443001333) 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, 15711220 + ... + 16937157.

It is an arithmetic number, because the mean of its divisors is an integer number (681567539128).

Almost surely, 220012443001313 is an apocalyptic number.

It is an amenable number.

20012443001313 is a deficient number, since it is larger than the sum of its proper divisors (12702798876831).

20012443001313 is a wasteful number, since it uses less digits than its factorization.

20012443001313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32648522 (or 32648505 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 20012443001313 its reverse (31310034421002), we get a palindrome (51322477422315).

The spelling of 20012443001313 in words is "twenty trillion, twelve billion, four hundred forty-three million, one thousand, three hundred thirteen".

Divisors: 1 3 7 17 21 51 101 119 289 303 357 707 867 1717 2023 2121 5151 6069 12019 29189 36057 87567 204323 612969 32648377 97945131 228538639 555022409 685615917 1665067227 3297486077 3885156863 9435380953 9892458231 11655470589 23082402539 28306142859 56057263309 66047666671 69247207617 168171789927 198143000013 392400843163 952973476253 1177202529489 2858920428759 6670814333771 20012443001313