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13214666600 = 2352598912583
BaseRepresentation
bin11000100111010011…
…11100111101101000
31021002221201121200022
430103221330331220
5204030423312400
610023140100012
7645320545532
oct142351747550
937087647608
1013214666600
115671375673
122689694608
1313279c2965
148d5088852
15525206b85
hex313a7cf68

13214666600 has 96 divisors (see below), whose sum is σ = 31598424000. Its totient is φ = 5137482240.

The previous prime is 13214666579. The next prime is 13214666603. The reversal of 13214666600 is 666641231.

It is not an unprimeable number, because it can be changed into a prime (13214666603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1043909 + ... + 1056491.

It is an arithmetic number, because the mean of its divisors is an integer number (329150250).

Almost surely, 213214666600 is an apocalyptic number.

13214666600 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 13214666600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15799212000).

13214666600 is an abundant number, since it is smaller than the sum of its proper divisors (18383757400).

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

13214666600 is a wasteful number, since it uses less digits than its factorization.

13214666600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12747 (or 12738 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 13214666600 in words is "thirteen billion, two hundred fourteen million, six hundred sixty-six thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 89 100 118 178 200 236 295 356 445 472 590 712 890 1180 1475 1780 2225 2360 2950 3560 4450 5251 5900 8900 10502 11800 12583 17800 21004 25166 26255 42008 50332 52510 62915 100664 105020 125830 131275 210040 251660 262550 314575 503320 525100 629150 742397 1050200 1119887 1258300 1484794 2239774 2516600 2969588 3711985 4479548 5599435 5939176 7423970 8959096 11198870 14847940 18559925 22397740 27997175 29695880 37119850 44795480 55994350 66073333 74239700 111988700 132146666 148479400 223977400 264293332 330366665 528586664 660733330 1321466660 1651833325 2642933320 3303666650 6607333300 13214666600