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13322232200 = 2352973471979
BaseRepresentation
bin11000110100001000…
…10010000110001000
31021101110010111221102
430122010102012020
5204240442412300
610041541400532
7651065051054
oct143204220610
937343114842
1013322232200
115717064262
1226b9709148
131344084c44
14905488c64
1552e8a30d5
hex31a112188

13322232200 has 96 divisors (see below), whose sum is σ = 31399552800. Its totient is φ = 5256099840.

The previous prime is 13322232191. The next prime is 13322232271. The reversal of 13322232200 is 223222331.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6730811 + ... + 6732789.

It is an arithmetic number, because the mean of its divisors is an integer number (327078675).

Almost surely, 213322232200 is an apocalyptic number.

13322232200 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 13322232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15699776400).

13322232200 is an abundant number, since it is smaller than the sum of its proper divisors (18077320600).

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

13322232200 is a wasteful number, since it uses less digits than its factorization.

13322232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 13322232200 its reverse (223222331), we get a palindrome (13545454531).

The spelling of 13322232200 in words is "thirteen billion, three hundred twenty-two million, two hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 194 200 347 388 485 694 776 970 1388 1735 1940 1979 2425 2776 3470 3880 3958 4850 6940 7916 8675 9700 9895 13880 15832 17350 19400 19790 33659 34700 39580 49475 67318 69400 79160 98950 134636 168295 191963 197900 269272 336590 383926 395800 673180 686713 767852 841475 959815 1346360 1373426 1535704 1682950 1919630 2746852 3365900 3433565 3839260 4799075 5493704 6731800 6867130 7678520 9598150 13734260 17167825 19196300 27468520 34335650 38392600 66611161 68671300 133222322 137342600 266444644 333055805 532889288 666111610 1332223220 1665279025 2664446440 3330558050 6661116100 13322232200