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201111022102220 = 225174332663512977
BaseRepresentation
bin101101101110100011001111…
…000010000110011011001100
3222101002000200220201122002022
4231232203033002012123030
5202330000333124232340
61551421043400545312
760234535415341046
oct5556431702063314
9871060626648068
10201111022102220
115909778402892a
121a6807b6482238
13882a8c372ca19
143793b7acb2a96
15183b55c4e83b5
hexb6e8cf0866cc

201111022102220 has 96 divisors (see below), whose sum is σ = 448378196208768. Its totient is φ = 75509016625152.

The previous prime is 201111022102171. The next prime is 201111022102229. The reversal of 201111022102220 is 22201220111102.

201111022102220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (201111022102229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 391790372 + ... + 392303348.

It is an arithmetic number, because the mean of its divisors is an integer number (4670606210508).

Almost surely, 2201111022102220 is an apocalyptic number.

201111022102220 is a gapful number since it is divisible by the number (20) 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 201111022102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224189098104384).

201111022102220 is an abundant number, since it is smaller than the sum of its proper divisors (247267174106548).

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

201111022102220 is a wasteful number, since it uses less digits than its factorization.

201111022102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516099 (or 516097 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 201111022102220 its reverse (22201220111102), we get a palindrome (223312242213322).

The spelling of 201111022102220 in words is "two hundred one trillion, one hundred eleven billion, twenty-two million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 433 866 1732 2165 2663 4330 5326 7361 8660 10652 13315 14722 26630 29444 36805 45271 53260 73610 90542 147220 181084 226355 452710 512977 905420 1025954 1153079 2051908 2306158 2564885 4612316 5129770 5765395 8720609 10259540 11530790 17441218 19602343 23061580 34882436 39204686 43603045 78409372 87206090 98011715 174412180 196023430 222119041 392046860 444238082 888476164 1110595205 1366057751 2221190410 2732115502 3776023697 4442380820 5464231004 6830288755 7552047394 13660577510 15104094788 18880118485 23222981767 27321155020 37760236970 46445963534 75520473940 92891927068 116114908835 232229817670 464459635340 591503006183 1183006012366 2366012024732 2957515030915 5915030061830 10055551105111 11830060123660 20111102210222 40222204420444 50277755525555 100555511051110 201111022102220