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111221101134 = 23411213436459
BaseRepresentation
bin110011110010101001…
…0110101001001001110
3101122002012010100020000
41213211102311021032
53310240100214014
6123032210105130
711015106522033
oct1474522651116
9348065110200
10111221101134
1143194459500
121967b87b1a6
13a64649ba60
14555144738a
152d5e400509
hex19e54b524e

111221101134 has 120 divisors (see below), whose sum is σ = 295005932760. Its totient is φ = 31110726240.

The previous prime is 111221101133. The next prime is 111221101139. The reversal of 111221101134 is 431101122111.

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 (111221101133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 36597 + ... + 473055.

It is an arithmetic number, because the mean of its divisors is an integer number (2458382773).

Almost surely, 2111221101134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111221101134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147502966380).

111221101134 is an abundant number, since it is smaller than the sum of its proper divisors (183784831626).

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

111221101134 is a wasteful number, since it uses less digits than its factorization.

111221101134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436508 (or 436488 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 111221101134 its reverse (431101122111), we get a palindrome (542322223245).

The spelling of 111221101134 in words is "one hundred eleven billion, two hundred twenty-one million, one hundred one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 121 143 162 198 234 242 286 297 351 363 429 594 702 726 858 891 1053 1089 1287 1573 1782 2106 2178 2574 3146 3267 3861 4719 6534 7722 9438 9801 11583 14157 19602 23166 28314 42471 84942 127413 254826 436459 872918 1309377 2618754 3928131 4801049 5673967 7856262 9602098 11347934 11784393 14403147 17021901 23568786 28806294 34043802 35353179 43209441 51065703 52811539 62413637 70706358 86418882 102131406 105623078 124827274 129628323 153197109 158434617 187240911 259256646 306394218 316869234 374481822 388884969 459591327 475303851 561722733 686550007 777769938 919182654 950607702 1123445466 1373100014 1425911553 1685168199 2059650021 2851823106 3370336398 4119300042 4277734659 5055504597 6178950063 8555469318 10111009194 12357900126 18536850189 37073700378 55610550567 111221101134