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13325622200 = 23521114934057
BaseRepresentation
bin11000110100100010…
…01101101110111000
31021101200111202010222
430122101031232320
5204242324402300
610042142155212
7651135630332
oct143221155670
937350452128
1013325622200
115718a6a210
1226ba882b08
1313449a0c67
14905acc452
1552ed22785
hex31a44dbb8

13325622200 has 96 divisors (see below), whose sum is σ = 33829598160. Its totient is φ = 4841241600.

The previous prime is 13325622181. The next prime is 13325622209. The reversal of 13325622200 is 222652331.

13325622200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13325622200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13325622209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3282572 + ... + 3286628.

Almost surely, 213325622200 is an apocalyptic number.

13325622200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13325622200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16914799080).

13325622200 is an abundant number, since it is smaller than the sum of its proper divisors (20503975960).

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

13325622200 is a wasteful number, since it uses less digits than its factorization.

13325622200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5577 (or 5568 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The spelling of 13325622200 in words is "thirteen billion, three hundred twenty-five million, six hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 1493 2200 2986 4057 5972 7465 8114 11944 14930 16228 16423 20285 29860 32456 32846 37325 40570 44627 59720 65692 74650 81140 82115 89254 101425 131384 149300 162280 164230 178508 202850 223135 298600 328460 357016 405700 410575 446270 656920 811400 821150 892540 1115675 1642300 1785080 2231350 3284600 4462700 6057101 8925400 12114202 24228404 30285505 48456808 60571010 66628111 121142020 133256222 151427525 242284040 266512444 302855050 333140555 533024888 605710100 666281110 1211420200 1332562220 1665702775 2665124440 3331405550 6662811100 13325622200