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111421128 = 233713173001
BaseRepresentation
bin1101010010000…
…10011011001000
321202122210001110
412221002123020
5212010434003
615020050320
72522030640
oct651023310
9252583043
10111421128
1157992385
12313939a0
131a112180
1410b25520
159bada03
hex6a426c8

111421128 has 128 divisors (see below), whose sum is σ = 363121920. Its totient is φ = 27648000.

The previous prime is 111421091. The next prime is 111421139. The reversal of 111421128 is 821124111.

It is a super-3 number, since 3×1114211283 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

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, 35628 + ... + 38628.

It is an arithmetic number, because the mean of its divisors is an integer number (2836890).

Almost surely, 2111421128 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 111421128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181560960).

111421128 is an abundant number, since it is smaller than the sum of its proper divisors (251700792).

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

111421128 is a wasteful number, since it uses less digits than its factorization.

111421128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047 (or 3043 counting only the distinct ones).

The product of its digits is 128, while the sum is 21.

The square root of 111421128 is about 10555.6206828400. The cubic root of 111421128 is about 481.1965632915.

Adding to 111421128 its reverse (821124111), we get a palindrome (932545239).

The spelling of 111421128 in words is "one hundred eleven million, four hundred twenty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 17 21 24 26 28 34 39 42 51 52 56 68 78 84 91 102 104 119 136 156 168 182 204 221 238 273 312 357 364 408 442 476 546 663 714 728 884 952 1092 1326 1428 1547 1768 2184 2652 2856 3001 3094 4641 5304 6002 6188 9003 9282 12004 12376 18006 18564 21007 24008 36012 37128 39013 42014 51017 63021 72024 78026 84028 102034 117039 126042 153051 156052 168056 204068 234078 252084 273091 306102 312104 357119 408136 468156 504168 546182 612204 663221 714238 819273 936312 1071357 1092364 1224408 1326442 1428476 1638546 1989663 2142714 2184728 2652884 2856952 3277092 3979326 4285428 4642547 5305768 6554184 7958652 8570856 9285094 13927641 15917304 18570188 27855282 37140376 55710564 111421128