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111320132 = 227113189131
BaseRepresentation
bin1101010001010…
…01110001000100
321202110122111212
412220221301010
5211444221012
615013550552
72521130330
oct650516104
9252418455
10111320132
1157923510
1231345458
131a0a8201
1410ada7c0
159b8db22
hex6a29c44

111320132 has 96 divisors (see below), whose sum is σ = 255467520. Its totient is φ = 41184000.

The previous prime is 111320129. The next prime is 111320147. The reversal of 111320132 is 231023111.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 849707 + ... + 849837.

It is an arithmetic number, because the mean of its divisors is an integer number (2661120).

Almost surely, 2111320132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111320132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127733760).

111320132 is an abundant number, since it is smaller than the sum of its proper divisors (144147388).

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

111320132 is a wasteful number, since it uses less digits than its factorization.

111320132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 111320132 is about 10550.8356067186. The cubic root of 111320132 is about 481.0511282191.

Adding to 111320132 its reverse (231023111), we get a palindrome (342343243).

The spelling of 111320132 in words is "one hundred eleven million, three hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 77 89 124 131 154 178 217 262 308 341 356 434 524 623 682 868 917 979 1246 1364 1441 1834 1958 2387 2492 2759 2882 3668 3916 4061 4774 5518 5764 6853 8122 9548 10087 11036 11659 13706 16244 19313 20174 23318 27412 28427 30349 38626 40348 44671 46636 56854 60698 77252 81613 89342 113708 121396 128249 163226 178684 212443 256498 312697 326452 361429 424886 512996 625394 722858 849772 897743 1250788 1445716 1795486 2530003 3590972 3975719 5060006 7951438 10120012 15902876 27830033 55660066 111320132