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11122001011110 = 235111021109730091
BaseRepresentation
bin1010000111011000101011…
…1010110110000110100110
31110101020211101002012000110
42201312022322312012212
52424210324224323420
635353213212353450
72225352360521343
oct241661272660646
943336741065013
1011122001011110
1135a88a5691320
1212b7627775886
13628a5304aa62
142a644455b7ca
15144497171ee0
hexa1d8aeb61a6

11122001011110 has 128 divisors (see below), whose sum is σ = 29175481456128. Its totient is φ = 2691057024000.

The previous prime is 11122001011049. The next prime is 11122001011129. The reversal of 11122001011110 is 1111010022111.

11122001011110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111220010111102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 369597165 + ... + 369627255.

It is an arithmetic number, because the mean of its divisors is an integer number (227933448876).

Almost surely, 211122001011110 is an apocalyptic number.

11122001011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11122001011110 is an abundant number, since it is smaller than the sum of its proper divisors (18053480445018).

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

11122001011110 is a wasteful number, since it uses less digits than its factorization.

11122001011110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32230.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11122001011110 its reverse (1111010022111), we get a palindrome (12233011033221).

The spelling of 11122001011110 in words is "eleven trillion, one hundred twenty-two billion, one million, eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 1021 1097 2042 2194 3063 3291 5105 5485 6126 6582 10210 10970 11231 12067 15315 16455 22462 24134 30091 30630 32910 33693 36201 56155 60182 60335 67386 72402 90273 112310 120670 150455 168465 180546 181005 300910 331001 336930 362010 451365 662002 902730 993003 1120037 1655005 1986006 2240074 3310010 3360111 4965015 5600185 6720222 9930030 11200370 12320407 16800555 24640814 30722911 33009827 33601110 36961221 61445822 61602035 66019654 73922442 92168733 99029481 123204070 153614555 165049135 184337466 184806105 198058962 307229110 330098270 337952021 363108097 369612210 460843665 495147405 675904042 726216194 921687330 990294810 1013856063 1089324291 1689760105 1815540485 2027712126 2178648582 3379520210 3631080970 5069280315 5446621455 10138560630 10893242910 33703033367 67406066734 101109100101 168515166835 202218200202 337030333670 370733367037 505545500505 741466734074 1011091001010 1112200101111 1853666835185 2224400202222 3707333670370 5561000505555 11122001011110