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22112211221122 = 2112534943348779
BaseRepresentation
bin1010000011100011001100…
…11111101011101010000010
32220021220111000112000010111
411001301212133223222002
510344241302033033442
6115010113135021534
74441361131123141
oct501614637535202
986256430460114
1022112211221122
117055810852100
1225915b296a8aa
13c452321a4c69
1456634584d758
152852c9142b17
hex141c667eba82

22112211221122 has 48 divisors (see below), whose sum is σ = 37153239822720. Its totient is φ = 9859340210720.

The previous prime is 22112211221083. The next prime is 22112211221143.

22112211221122 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 22112211221093 and 22112211221102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63224529 + ... + 63573307.

It is an arithmetic number, because the mean of its divisors is an integer number (774025829640).

Almost surely, 222112211221122 is an apocalyptic number.

22112211221122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22112211221122 is a deficient number, since it is larger than the sum of its proper divisors (15041028601598).

22112211221122 is a wasteful number, since it uses less digits than its factorization.

22112211221122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353799 (or 353788 counting only the distinct ones).

The product of its digits is 256, while the sum is 22.

Multiplying 22112211221122 by its sum of digits (22), we get a palindrome (486468646864684).

It can be divided in two parts, 2211221 and 1221122, that added together give a palindrome (3432343).

The spelling of 22112211221122 in words is "twenty-two trillion, one hundred twelve billion, two hundred eleven million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 11 22 53 106 121 242 583 1166 4943 6413 9886 12826 54373 108746 261979 348779 523958 598103 697558 1196206 2881769 3836569 5763538 7673138 18485287 31699459 36970574 42202259 63398918 84404518 203338157 406676314 1724014597 2236719727 3448029194 4473439454 18964160567 37928321134 91372773641 182745547282 208605766237 417211532474 1005100510051 2010201020102 11056105610561 22112211221122