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13323303200 = 255216654129
BaseRepresentation
bin11000110100010000…
…10111100100100000
31021101112010221002002
430122020113210200
5204241231200300
610042020343132
7651110131364
oct143210274440
937345127062
1013323303200
115717725989
1226b9b44aa8
13134436b57c
149056872a4
1552ea155d5
hex31a217920

13323303200 has 36 divisors (see below), whose sum is σ = 32525515890. Its totient is φ = 5329320960.

The previous prime is 13323303131. The next prime is 13323303209. The reversal of 13323303200 is 230332331.

It can be written as a sum of positive squares in 3 ways, for example, as 7051296784 + 6272006416 = 83972^2 + 79196^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13323303209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8326265 + ... + 8327864.

Almost surely, 213323303200 is an apocalyptic number.

13323303200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13323303200 is an abundant number, since it is smaller than the sum of its proper divisors (19202212690).

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

13323303200 is a wasteful number, since it uses less digits than its factorization.

13323303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16654149 (or 16654136 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 13323303200 its reverse (230332331), we get a palindrome (13553635531).

The spelling of 13323303200 in words is "thirteen billion, three hundred twenty-three million, three hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 16654129 33308258 66616516 83270645 133233032 166541290 266466064 333082580 416353225 532932128 666165160 832706450 1332330320 1665412900 2664660640 3330825800 6661651600 13323303200