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13221212200 = 2352723340531
BaseRepresentation
bin11000101000000101…
…11011000000101000
31021010102001011112221
430110002323000220
5204034112242300
610023532243424
7645430310110
oct142402730050
937112034487
1013221212200
115675036459
12268b910574
1313291750b1
148d5cb0040
15525a9b31a
hex3140bb028

13221212200 has 96 divisors (see below), whose sum is σ = 35282295360. Its totient is φ = 4513420800.

The previous prime is 13221212161. The next prime is 13221212203. The reversal of 13221212200 is 221212231.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13221212203) 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, 305935 + ... + 346465.

It is an arithmetic number, because the mean of its divisors is an integer number (367523910).

Almost surely, 213221212200 is an apocalyptic number.

13221212200 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 13221212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17641147680).

13221212200 is an abundant number, since it is smaller than the sum of its proper divisors (22061083160).

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

13221212200 is a wasteful number, since it uses less digits than its factorization.

13221212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40787 (or 40778 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 13221212200 its reverse (221212231), we get a palindrome (13442424431).

The spelling of 13221212200 in words is "thirteen billion, two hundred twenty-one million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 233 280 350 466 700 932 1165 1400 1631 1864 2330 3262 4660 5825 6524 8155 9320 11650 13048 16310 23300 32620 40531 40775 46600 65240 81062 81550 162124 163100 202655 283717 324248 326200 405310 567434 810620 1013275 1134868 1418585 1621240 2026550 2269736 2837170 4053100 5674340 7092925 8106200 9443723 11348680 14185850 18887446 28371700 37774892 47218615 56743400 66106061 75549784 94437230 132212122 188874460 236093075 264424244 330530305 377748920 472186150 528848488 661060610 944372300 1322121220 1652651525 1888744600 2644242440 3305303050 6610606100 13221212200