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201001200121320 = 23354165140215361
BaseRepresentation
bin101101101100111100111101…
…001000011111010111101000
3222100200112020020021222000020
4231230330331020133113220
5202321200424212340240
61551254402050440440
760223600055035524
oct5554747510372750
9870615206258006
10201001200121320
1159055148418145
121a663467293120
138820441092181
14378c71d5ccd84
151838780d670d0
hexb6cf3d21f5e8

201001200121320 has 64 divisors (see below), whose sum is σ = 603018092888640. Its totient is φ = 53599031808000.

The previous prime is 201001200121301. The next prime is 201001200121321. The reversal of 201001200121320 is 23121002100102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201001200121320.

It is not an unprimeable number, because it can be changed into a prime (201001200121321) 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, 15109561 + ... + 25105800.

It is an arithmetic number, because the mean of its divisors is an integer number (9422157701385).

Almost surely, 2201001200121320 is an apocalyptic number.

201001200121320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201001200121320 is an abundant number, since it is smaller than the sum of its proper divisors (402016892767320).

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

201001200121320 is a wasteful number, since it uses less digits than its factorization.

201001200121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40257026 (or 40257022 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 201001200121320 its reverse (23121002100102), we get a palindrome (224122202221422).

The spelling of 201001200121320 in words is "two hundred one trillion, one billion, two hundred million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 41651 83302 124953 166604 208255 249906 333208 416510 499812 624765 833020 999624 1249530 1666040 2499060 4998120 40215361 80430722 120646083 160861444 201076805 241292166 321722888 402153610 482584332 603230415 804307220 965168664 1206460830 1608614440 2412921660 4825843320 1675010001011 3350020002022 5025030003033 6700040004044 8375050005055 10050060006066 13400080008088 16750100010110 20100120012132 25125150015165 33500200020220 40200240024264 50250300030330 67000400040440 100500600060660 201001200121320