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122002102022211 = 3323617540758889
BaseRepresentation
bin11011101111010111010011…
…111100111111000001000011
3120222222021202020221200022000
4123233113103330333001003
5111442340301104202321
61111250554131315043
734461234551450655
oct3357272374770103
9528867666850260
10122002102022211
113596788a004434
12118249a914ba83
13530c997309468
14221ad0cb746d5
15e1884be49826
hex6ef5d3f3f043

122002102022211 has 64 divisors (see below), whose sum is σ = 188946105753600. Its totient is φ = 77656666526208.

The previous prime is 122002102022113. The next prime is 122002102022239. The reversal of 122002102022211 is 112220201200221.

It is a happy number.

122002102022211 is a `hidden beast` number, since 1 + 2 + 200 + 210 + 20 + 22 + 211 = 666.

It is not a de Polignac number, because 122002102022211 - 238 = 121727224115267 is a prime.

It is a super-3 number, since 3×1220021020222113 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (122002102022291) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2071700455 + ... + 2071759343.

It is an arithmetic number, because the mean of its divisors is an integer number (2952282902400).

Almost surely, 2122002102022211 is an apocalyptic number.

122002102022211 is a deficient number, since it is larger than the sum of its proper divisors (66944003731389).

122002102022211 is a wasteful number, since it uses less digits than its factorization.

122002102022211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64945 (or 64939 counting only the distinct ones).

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

Adding to 122002102022211 its reverse (112220201200221), we get a palindrome (234222303222432).

The spelling of 122002102022211 in words is "one hundred twenty-two trillion, two billion, one hundred two million, twenty-two thousand, two hundred eleven".

Divisors: 1 3 9 23 27 69 207 617 621 1851 5407 5553 14191 16221 16659 42573 48663 58889 124361 127719 145989 176667 373083 383157 530001 1119249 1354447 1590003 3336119 3357747 4063341 10008357 12190023 30025071 36334513 36570069 76730737 90075213 109003539 230192211 318412823 327010617 690576633 835693799 955238469 981031851 2071729899 2507081397 2865715407 7323494929 7521244191 8597146221 21970484787 22563732573 65911454361 196460711791 197734363083 589382135373 1768146406119 4518596371193 5304439218357 13555789113579 40667367340737 122002102022211