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111141420 = 223513891601
BaseRepresentation
bin1101001111111…
…10001000101100
321202010120100220
412213332020230
5211423011140
615010051340
72516454315
oct647761054
9252116326
10111141420
1157811215
1231279b50
131a044a70
1410a9160c
159b55bd0
hex69fe22c

111141420 has 96 divisors (see below), whose sum is σ = 339111360. Its totient is φ = 27033600.

The previous prime is 111141413. The next prime is 111141439. The reversal of 111141420 is 24141111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 111141420.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68620 + ... + 70220.

It is an arithmetic number, because the mean of its divisors is an integer number (3532410).

Almost surely, 2111141420 is an apocalyptic number.

111141420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111141420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169555680).

111141420 is an abundant number, since it is smaller than the sum of its proper divisors (227969940).

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

111141420 is a wasteful number, since it uses less digits than its factorization.

111141420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 111141420 is about 10542.3631126992. The cubic root of 111141420 is about 480.7935657770.

Adding to 111141420 its reverse (24141111), we get a palindrome (135282531).

The spelling of 111141420 in words is "one hundred eleven million, one hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 89 130 156 178 195 260 267 356 390 445 534 780 890 1068 1157 1335 1601 1780 2314 2670 3202 3471 4628 4803 5340 5785 6404 6942 8005 9606 11570 13884 16010 17355 19212 20813 23140 24015 32020 34710 41626 48030 62439 69420 83252 96060 104065 124878 142489 208130 249756 284978 312195 416260 427467 569956 624390 712445 854934 1248780 1424890 1709868 1852357 2137335 2849780 3704714 4274670 5557071 7409428 8549340 9261785 11114142 18523570 22228284 27785355 37047140 55570710 111141420