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201120120221022 = 232731373217347287
BaseRepresentation
bin101101101110101011101101…
…010100101010110101011110
3222101002220011222102221210100
4231232223231110222311132
5202330123001234033042
61551425150245121530
760235310032150542
oct5556535524526536
9871086158387710
10201120120221022
11590a0622746182
121a6825153b92a6
13882b713615482
1437943a1349a22
15183b8e110724c
hexb6eaed52ad5e

201120120221022 has 96 divisors (see below), whose sum is σ = 445093477538112. Its totient is φ = 65618450583552.

The previous prime is 201120120220963. The next prime is 201120120221081. The reversal of 201120120221022 is 220122021021102.

It is a happy number.

201120120221022 is a `hidden beast` number, since 20 + 11 + 201 + 202 + 210 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (201120120220963) and next prime (201120120221081).

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 = 201120120220986 and 201120120221004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 578944263 + ... + 579291549.

It is an arithmetic number, because the mean of its divisors is an integer number (4636390391022).

Almost surely, 2201120120221022 is an apocalyptic number.

201120120221022 is an abundant number, since it is smaller than the sum of its proper divisors (243973357317090).

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

201120120221022 is a wasteful number, since it uses less digits than its factorization.

201120120221022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350722 (or 350719 counting only the distinct ones).

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

Adding to 201120120221022 its reverse (220122021021102), we get a palindrome (421242141242124).

The spelling of 201120120221022 in words is "two hundred one trillion, one hundred twenty billion, one hundred twenty million, two hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 73 137 146 219 274 411 438 657 822 1233 1314 2466 3217 6434 9651 10001 19302 20002 28953 30003 57906 60006 90009 180018 234841 347287 440729 469682 694574 704523 881458 1041861 1322187 1409046 2083722 2113569 2644374 3125583 3966561 4227138 6251166 7933122 25351951 32173217 47578319 50703902 64346434 76055853 95156638 96519651 142734957 152111706 193039302 228167559 285469914 289558953 428204871 456335118 579117906 856409742 1117222279 2234444558 3351666837 3473217287 6703333674 6946434574 10055000511 10419651861 20110001022 20839303722 31258955583 62517911166 81557226367 153059452223 163114452734 244671679101 306118904446 459178356669 489343358202 734015037303 918356713338 1377535070007 1468030074606 2755070140014 11173340012279 22346680024558 33520020036837 67040040073674 100560060110511 201120120221022