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201122120102202 = 232137156912009337
BaseRepresentation
bin101101101110101101100100…
…100001100111000100111010
3222101010002100100120110000200
4231232231210201213010322
5202330141100221232302
61551430120525343030
760235410424646115
oct5556554441470472
9871102310513020
10201122120102202
11590a1459611542
121a682993107a76
13882b971a4a710
143794510bb357c
15183b9ab99481c
hexb6eb6486713a

201122120102202 has 48 divisors (see below), whose sum is σ = 469291543080360. Its totient is φ = 61882859437056.

The previous prime is 201122120102149. The next prime is 201122120102203. The reversal of 201122120102202 is 202201021221102.

It is a happy number.

201122120102202 is a `hidden beast` number, since 20 + 1 + 1 + 221 + 201 + 0 + 220 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 167371376709681 + 33750743392521 = 12937209^2 + 5809539^2 .

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

It is not an unprimeable number, because it can be changed into a prime (201122120102203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10742478 + ... + 22751814.

Almost surely, 2201122120102202 is an apocalyptic number.

201122120102202 is an abundant number, since it is smaller than the sum of its proper divisors (268169422978158).

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

201122120102202 is a wasteful number, since it uses less digits than its factorization.

201122120102202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12080927 (or 12080924 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201122120102202 its reverse (202201021221102), we get a palindrome (403323141323304).

The spelling of 201122120102202 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred twenty million, one hundred two thousand, two hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 71569 143138 214707 429414 644121 930397 1288242 1860794 2791191 5582382 8373573 12009337 16747146 24018674 36028011 72056022 108084033 156121381 216168066 312242762 468364143 936728286 1405092429 2810184858 859496239753 1718992479506 2578488719259 5156977438518 7735466157777 11173451116789 15470932315554 22346902233578 33520353350367 67040706700734 100561060051101 201122120102202