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213013001300 = 2252111090317761
BaseRepresentation
bin1100011001100010010…
…0000111010001010100
3202100211020112122101112
43012120210013101110
511442222312020200
6241505023514152
721250442431211
oct3063044072124
9670736478345
10213013001300
118237a316730
1235349758958
13171192c3848
14a44a472b08
15581aae3535
hex3198907454

213013001300 has 72 divisors (see below), whose sum is σ = 504334512192. Its totient is φ = 77447808000.

The previous prime is 213013001281. The next prime is 213013001323. The reversal of 213013001300 is 3100310312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11984420 + ... + 12002180.

Almost surely, 2213013001300 is an apocalyptic number.

213013001300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213013001300 is an abundant number, since it is smaller than the sum of its proper divisors (291321510892).

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

213013001300 is a wasteful number, since it uses less digits than its factorization.

213013001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28689 (or 28682 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 213013001300 its reverse (3100310312), we get a palindrome (216113311612).

The spelling of 213013001300 in words is "two hundred thirteen billion, thirteen million, one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 10903 17761 21806 35522 43612 54515 71044 88805 109030 119933 177610 195371 218060 239866 272575 355220 390742 444025 479732 545150 599665 781484 888050 976855 1090300 1199330 1776100 1953710 2398660 2998325 3907420 4884275 5996650 9768550 11993300 19537100 193648183 387296366 774592732 968240915 1936481830 2130130013 3872963660 4260260026 4841204575 8520520052 9682409150 10650650065 19364818300 21301300130 42602600260 53253250325 106506500650 213013001300