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201122171221068 = 22337789239086189
BaseRepresentation
bin101101101110101101100111…
…100100100111010001001100
3222101010002110220202112221000
4231232231213210213101030
5202330141201313033233
61551430125553140300
760235411615313526
oct5556554744472114
9871102426675830
10201122171221068
11590a1485456939
121a6829a825a690
13882b97c508176
1437945178bca16
15183b9b11e0d13
hexb6eb6792744c

201122171221068 has 48 divisors (see below), whose sum is σ = 521494797628000. Its totient is φ = 67032116357184.

The previous prime is 201122171221067. The next prime is 201122171221117. The reversal of 201122171221068 is 860122171221102.

201122171221068 is a `hidden beast` number, since 201 + 1 + 2 + 2 + 171 + 221 + 0 + 68 = 666.

It is a super-2 number, since 2×2011221712210682 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (201122171221067) 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, 118701883 + ... + 120384306.

Almost surely, 2201122171221068 is an apocalyptic number.

It is an amenable number.

201122171221068 is an abundant number, since it is smaller than the sum of its proper divisors (320372626406932).

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

201122171221068 is a wasteful number, since it uses less digits than its factorization.

201122171221068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239093991 (or 239093983 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 201122171221068 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred seventy-one million, two hundred twenty-one thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 7789 15578 23367 31156 46734 70101 93468 140202 210303 280404 420606 841212 239086189 478172378 717258567 956344756 1434517134 2151775701 2869034268 4303551402 6455327103 8607102804 12910654206 25821308412 1862242326121 3724484652242 5586726978363 7448969304484 11173453956726 16760180935089 22346907913452 33520361870178 50280542805267 67040723740356 100561085610534 201122171221068