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13112321200 = 2452113139521
BaseRepresentation
bin11000011011000111…
…00010010010110000
31020211211010221011221
430031203202102300
5203323223234300
610005042314424
7642635614456
oct141543422260
936754127157
1013112321200
115619621aa0
12265b358a14
13130c73a754
148c56469d6
1551b23c31a
hex30d8e24b0

13112321200 has 120 divisors (see below), whose sum is σ = 34479619056. Its totient is φ = 4752384000.

The previous prime is 13112321191. The next prime is 13112321207. The reversal of 13112321200 is 212321131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (13112321207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1372440 + ... + 1381960.

Almost surely, 213112321200 is an apocalyptic number.

13112321200 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 13112321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17239809528).

13112321200 is an abundant number, since it is smaller than the sum of its proper divisors (21367297856).

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

13112321200 is a wasteful number, since it uses less digits than its factorization.

13112321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9863 (or 9852 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13112321200 its reverse (212321131), we get a palindrome (13324642331).

The spelling of 13112321200 in words is "thirteen billion, one hundred twelve million, three hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 313 400 440 550 626 880 1100 1252 1565 2200 2504 3130 3443 4400 5008 6260 6886 7825 9521 12520 13772 15650 17215 19042 25040 27544 31300 34430 38084 47605 55088 62600 68860 76168 86075 95210 104731 125200 137720 152336 172150 190420 209462 238025 275440 344300 380840 418924 476050 523655 688600 761680 837848 952100 1047310 1377200 1675696 1904200 2094620 2618275 2980073 3808400 4189240 5236550 5960146 8378480 10473100 11920292 14900365 20946200 23840584 29800730 32780803 41892400 47681168 59601460 65561606 74501825 119202920 131123212 149003650 163904015 238405840 262246424 298007300 327808030 524492848 596014600 655616060 819520075 1192029200 1311232120 1639040150 2622464240 3278080300 6556160600 13112321200