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201323403212200 = 23521006617016061
BaseRepresentation
bin101101110001101001000001…
…111011101111010110101000
3222101211022220010020212112121
4231301221001323233112220
5202341440312210242300
61552102410013121024
760256064416106443
oct5561510173572650
9871738803225477
10201323403212200
1159169859694225
121a6b59a8489174
13884493bb3cb79
1437a016745a65a
151841d3c8be81a
hexb71a41eef5a8

201323403212200 has 24 divisors (see below), whose sum is σ = 468076912468830. Its totient is φ = 80529361284800.

The previous prime is 201323403212189. The next prime is 201323403212201. The reversal of 201323403212200 is 2212304323102.

It can be written as a sum of positive squares in 3 ways, for example, as 77867882221284 + 123455520990916 = 8824278^2 + 11111054^2 .

It is a super-3 number, since 3×2013234032122003 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (201323403212201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 503308507831 + ... + 503308508230.

Almost surely, 2201323403212200 is an apocalyptic number.

201323403212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201323403212200 is an abundant number, since it is smaller than the sum of its proper divisors (266753509256630).

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

201323403212200 is a wasteful number, since it uses less digits than its factorization.

201323403212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006617016077 (or 1006617016068 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 201323403212200 its reverse (2212304323102), we get a palindrome (203535707535302).

The spelling of 201323403212200 in words is "two hundred one trillion, three hundred twenty-three billion, four hundred three million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1006617016061 2013234032122 4026468064244 5033085080305 8052936128488 10066170160610 20132340321220 25165425401525 40264680642440 50330850803050 100661701606100 201323403212200