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11122220101122 = 232131671372920731
BaseRepresentation
bin1010000111011001011111…
…1110100110111000000010
31110101021101122100010000100
42201312113332212320002
52424211301321213442
635353251040303230
72225360660664624
oct241662776467002
943337348303010
1011122220101122
1135a89a8322949
1212b7689011b16
13628a8955a210
142a64656acc14
151444ab4ec84c
hexa1d97fa6e02

11122220101122 has 96 divisors (see below), whose sum is σ = 26110408222080. Its totient is φ = 3401317370880.

The previous prime is 11122220101121. The next prime is 11122220101141. The reversal of 11122220101122 is 22110102222111.

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 = 11122220101095 and 11122220101104.

It is not an unprimeable number, because it can be changed into a prime (11122220101121) 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 47 ways as a sum of consecutive naturals, for example, 536491497 + ... + 536512227.

It is an arithmetic number, because the mean of its divisors is an integer number (271983418980).

Almost surely, 211122220101122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11122220101122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13055204111040).

11122220101122 is an abundant number, since it is smaller than the sum of its proper divisors (14988188120958).

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

11122220101122 is a wasteful number, since it uses less digits than its factorization.

11122220101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34648 (or 34645 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11122220101122 its reverse (22110102222111), we get a palindrome (33232322323233).

The spelling of 11122220101122 in words is "eleven trillion, one hundred twenty-two billion, two hundred twenty million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 167 234 334 501 1002 1503 2171 3006 4342 6513 13026 13729 19539 20731 27458 39078 41187 41462 62193 82374 123561 124386 178477 186579 247122 269503 356954 373158 535431 539006 808509 1070862 1606293 1617018 2292743 2425527 3212586 3462077 4585486 4851054 6878229 6924154 10386231 13756458 20634687 20772462 29805659 31158693 41269374 45007001 59611318 62317386 89416977 90014002 135021003 178833954 268250931 270042006 284615899 405063009 536501862 569231798 810126018 853847697 1707695394 2561543091 3700006687 5123086182 7400013374 11100020061 22200040122 33300060183 47530855133 66600120366 95061710266 142592565399 285185130798 427777696197 617901116729 855555392394 1235802233458 1853703350187 3707406700374 5561110050561 11122220101122