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110241142014200 = 23522694674387777
BaseRepresentation
bin11001000100001110000100…
…000111000000000011111000
3112110022221122201210100002012
4121010032010013000003320
5103422142324323423300
61030244025334025052
732135442161025041
oct3104160407000370
9473287581710065
10110241142014200
113214300776061a
121044557b4a8188
134968906144122
141d319b21478c8
15cb2959a53435
hex6443841c00f8

110241142014200 has 96 divisors (see below), whose sum is σ = 257814427057200. Its totient is φ = 43838445527040.

The previous prime is 110241142014109. The next prime is 110241142014209. The reversal of 110241142014200 is 2410241142011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110241142014209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22930712 + ... + 27318488.

Almost surely, 2110241142014200 is an apocalyptic number.

110241142014200 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 110241142014200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128907213528600).

110241142014200 is an abundant number, since it is smaller than the sum of its proper divisors (147573285043000).

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

110241142014200 is a wasteful number, since it uses less digits than its factorization.

110241142014200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4388529 (or 4388520 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 110241142014200 its reverse (2410241142011), we get a palindrome (112651383156211).

The spelling of 110241142014200 in words is "one hundred ten trillion, two hundred forty-one billion, one hundred forty-two million, fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 269 467 538 934 1076 1345 1868 2152 2335 2690 3736 4670 5380 6725 9340 10760 11675 13450 18680 23350 26900 46700 53800 93400 125623 251246 502492 628115 1004984 1256230 2512460 3140575 4387777 5024920 6281150 8775554 12562300 17551108 21938885 25124600 35102216 43877770 87755540 109694425 175511080 219388850 438777700 877555400 1180312013 2049091859 2360624026 4098183718 4721248052 5901560065 8196367436 9442496104 10245459295 11803120130 16392734872 20490918590 23606240260 29507800325 40981837180 47212480520 51227296475 59015600650 81963674360 102454592950 118031201300 204909185900 236062402600 409818371800 551205710071 1102411420142 2204822840284 2756028550355 4409645680568 5512057100710 11024114201420 13780142751775 22048228402840 27560285503550 55120571007100 110241142014200