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220202022001122 = 23374265271365787
BaseRepresentation
bin110010000100010111000111…
…010011001101100111100010
31001212200002220112010112211000
4302010113013103031213202
5212330242220113013442
62100155225024132430
764245033245120430
oct6204270723154742
91055602815115730
10220202022001122
1164188175845997
1220844763767116
1395b3c66770345
143c53b98707d50
151a6ce5eb55d4c
hexc845c74cd9e2

220202022001122 has 64 divisors (see below), whose sum is σ = 559244951101440. Its totient is φ = 62914669859088.

The previous prime is 220202022001111. The next prime is 220202022001123. The reversal of 220202022001122 is 221100220202022.

220202022001122 is a `hidden beast` number, since 220 + 20 + 202 + 200 + 1 + 1 + 22 = 666.

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 = 220202022001095 and 220202022001104.

It is not an unprimeable number, because it can be changed into a prime (220202022001123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160544313 + ... + 161910099.

It is an arithmetic number, because the mean of its divisors is an integer number (8738202360960).

Almost surely, 2220202022001122 is an apocalyptic number.

220202022001122 is an abundant number, since it is smaller than the sum of its proper divisors (339042929100318).

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

220202022001122 is a wasteful number, since it uses less digits than its factorization.

220202022001122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792332 (or 1792326 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220202022001122 its reverse (221100220202022), we get a palindrome (441302242203144).

The spelling of 220202022001122 in words is "two hundred twenty trillion, two hundred two billion, twenty-two million, one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 426527 853054 1279581 1365787 2559162 2731574 2985689 3838743 4097361 5971378 7677486 8194722 8957067 9560509 11516229 12292083 17914134 19121018 23032458 24584166 26871201 28681527 36876249 53742402 57363054 73752498 80613603 86044581 161227206 172089162 258133743 516267486 582545031749 1165090063498 1747635095247 3495270190494 4077815222243 5242905285741 8155630444486 10485810571482 12233445666729 15728715857223 24466891333458 31457431714446 36700337000187 73400674000374 110101011000561 220202022001122