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13221206640 = 243356120929
BaseRepresentation
bin11000101000000101…
…11001101001110000
31021010102000212221000
430110002321221300
5204034112103030
610023532202000
7645430254645
oct142402715160
937112025830
1013221206640
115675032264
12268b909300
1313291726c5
148d5cabdcc
15525a99860
hex3140b9a70

13221206640 has 80 divisors (see below), whose sum is σ = 45539719200. Its totient is φ = 3525654528.

The previous prime is 13221206597. The next prime is 13221206641. The reversal of 13221206640 is 4660212231.

13221206640 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 12 + 0 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221206641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3058305 + ... + 3062624.

It is an arithmetic number, because the mean of its divisors is an integer number (569246490).

Almost surely, 213221206640 is an apocalyptic number.

13221206640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13221206640 is an abundant number, since it is smaller than the sum of its proper divisors (32318512560).

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

13221206640 is a wasteful number, since it uses less digits than its factorization.

13221206640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6120951 (or 6120939 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13221206640 its reverse (4660212231), we get a palindrome (17881418871).

The spelling of 13221206640 in words is "thirteen billion, two hundred twenty-one million, two hundred six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 6120929 12241858 18362787 24483716 30604645 36725574 48967432 55088361 61209290 73451148 91813935 97934864 110176722 122418580 146902296 165265083 183627870 220353444 244837160 275441805 293804592 330530166 367255740 440706888 489674320 550883610 661060332 734511480 826325415 881413776 1101767220 1322120664 1469022960 1652650830 2203534440 2644241328 3305301660 4407068880 6610603320 13221206640