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201121110121122 = 2341241488334081
BaseRepresentation
bin101101101110101100101000…
…010100110101101010100010
3222101002222201222010002110000
4231232230220110311222202
5202330132013142333442
61551425432410120430
760235343412154632
oct5556545024655242
9871088658102400
10201121110121122
11590a0a904a0834
121a682750a20116
13882b840727489
1437944569c86c2
15183b94ce90d4c
hexb6eb28535aa2

201121110121122 has 20 divisors (see below), whose sum is σ = 450660265271766. Its totient is φ = 67040370040320.

The previous prime is 201121110121073. The next prime is 201121110121123. The reversal of 201121110121122 is 221121011121102.

It is a happy number.

201121110121122 is a `hidden beast` number, since 201 + 1 + 211 + 10 + 121 + 122 = 666.

201121110121122 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 only one way, i.e., 143565232660641 + 57555877460481 = 11981871^2 + 7586559^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201121110121095 and 201121110121104.

It is not an unprimeable number, because it can be changed into a prime (201121110121123) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 620744166879 + ... + 620744167202.

Almost surely, 2201121110121122 is an apocalyptic number.

201121110121122 is an abundant number, since it is smaller than the sum of its proper divisors (249539155150644).

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

201121110121122 is a wasteful number, since it uses less digits than its factorization.

201121110121122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241488334095 (or 1241488334086 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 201121110121122 its reverse (221121011121102), we get a palindrome (422242121242224).

The spelling of 201121110121122 in words is "two hundred one trillion, one hundred twenty-one billion, one hundred ten million, one hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 1241488334081 2482976668162 3724465002243 7448930004486 11173395006729 22346790013458 33520185020187 67040370040374 100560555060561 201121110121122