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13200222210 = 2357239722619
BaseRepresentation
bin11000100101100101…
…10110100000000010
31021001221112202200220
430102302312200002
5204013224102320
610021502323510
7645054015600
oct142262664002
937057482626
1013200222210
1156641aa35a
122684889596
131324a06196
148d31a8870
15523d01e40
hex312cb6802

13200222210 has 96 divisors (see below), whose sum is σ = 36947327040. Its totient is φ = 3009460608.

The previous prime is 13200222209. The next prime is 13200222223. The reversal of 13200222210 is 1222200231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13200222210.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 572281 + ... + 594899.

It is an arithmetic number, because the mean of its divisors is an integer number (384867990).

Almost surely, 213200222210 is an apocalyptic number.

13200222210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13200222210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18473663520).

13200222210 is an abundant number, since it is smaller than the sum of its proper divisors (23747104830).

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

13200222210 is a wasteful number, since it uses less digits than its factorization.

13200222210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23040 (or 23033 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 13200222210 its reverse (1222200231), we get a palindrome (14422422441).

The spelling of 13200222210 in words is "thirteen billion, two hundred million, two hundred twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 397 490 735 794 1191 1470 1985 2382 2779 3970 5558 5955 8337 11910 13895 16674 19453 22619 27790 38906 41685 45238 58359 67857 83370 97265 113095 116718 135714 158333 194530 226190 291795 316666 339285 474999 583590 678570 791665 949998 1108331 1583330 2216662 2374995 3324993 4749990 5541655 6649986 8979743 11083310 16624965 17959486 26939229 33249930 44898715 53878458 62858201 89797430 125716402 134696145 188574603 269392290 314291005 377149206 440007407 628582010 880014814 942873015 1320022221 1885746030 2200037035 2640044442 4400074070 6600111105 13200222210