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11201012210020 = 2255144910885549
BaseRepresentation
bin1010001011111111000001…
…0110101001100101100100
31110122210202210120221220211
42202333300112221211210
52432004133111210040
635453401324505204
72234150344604053
oct242776026514544
943583683527824
1011201012210020
113629360423516
12130a9b83ab204
13633335366b69
142aa1bbc6239a
1514656d9228ea
hexa2ff05a9964

11201012210020 has 24 divisors (see below), whose sum is σ = 23522584995000. Its totient is φ = 4480317388032.

The previous prime is 11201012209969. The next prime is 11201012210023. The reversal of 11201012210020 is 2001221010211.

11201012210020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 812922230884 + 10388089979136 = 901622^2 + 3223056^2 .

It is a super-3 number, since 3×112010122100203 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11201012210023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4413795 + ... + 6471754.

It is an arithmetic number, because the mean of its divisors is an integer number (980107708125).

Almost surely, 211201012210020 is an apocalyptic number.

11201012210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201012210020 is an abundant number, since it is smaller than the sum of its proper divisors (12321572784980).

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

11201012210020 is a wasteful number, since it uses less digits than its factorization.

11201012210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10937007 (or 10937005 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11201012210020 its reverse (2001221010211), we get a palindrome (13202233220231).

The spelling of 11201012210020 in words is "eleven trillion, two hundred one billion, twelve million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 51449 102898 205796 257245 514490 1028980 10885549 21771098 43542196 54427745 108855490 217710980 560050610501 1120101221002 2240202442004 2800253052505 5600506105010 11201012210020