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11121220222110 = 23251741177287107
BaseRepresentation
bin1010000111010101110001…
…1000010111110010011110
31110101011210221212222212100
42201311130120113302132
52424202224334101420
635353003521345530
72225324130106515
oct241653430276236
943334727788770
1011121220222110
1135a8534981a59
1212b744a1982a6
1362895a36312b
142a63ac99367c
1514444d842190
hexa1d5c617c9e

11121220222110 has 96 divisors (see below), whose sum is σ = 31362798553632. Its totient is φ = 2723129948160.

The previous prime is 11121220222061. The next prime is 11121220222117. The reversal of 11121220222110 is 1122202212111.

11121220222110 is a `hidden beast` number, since 1 + 112 + 1 + 220 + 222 + 110 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121220222117) 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, 88580824 + ... + 88706283.

It is an arithmetic number, because the mean of its divisors is an integer number (326695818267).

Almost surely, 211121220222110 is an apocalyptic number.

11121220222110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11121220222110 is an abundant number, since it is smaller than the sum of its proper divisors (20241578331522).

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

11121220222110 is a wasteful number, since it uses less digits than its factorization.

11121220222110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177287178 (or 177287175 counting only the distinct ones).

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

Adding to 11121220222110 its reverse (1122202212111), we get a palindrome (12243422434221).

The spelling of 11121220222110 in words is "eleven trillion, one hundred twenty-one billion, two hundred twenty million, two hundred twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 41 45 51 82 85 90 102 123 153 170 205 246 255 306 369 410 510 615 697 738 765 1230 1394 1530 1845 2091 3485 3690 4182 6273 6970 10455 12546 20910 31365 62730 177287107 354574214 531861321 886435535 1063722642 1595583963 1772871070 2659306605 3013880819 3191167926 5318613210 6027761638 7268771387 7977919815 9041642457 14537542774 15069404095 15955839630 18083284914 21806314161 27124927371 30138808190 36343856935 43612628322 45208212285 54249854742 65418942483 72687713870 90416424570 109031570805 123569113579 130837884966 135624636855 218063141610 247138227158 271249273710 327094712415 370707340737 617845567895 654189424830 741414681474 1112122022211 1235691135790 1853536703685 2224244044422 3707073407370 5560610111055 11121220222110