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110130000 = 243543671
BaseRepresentation
bin1101001000001…
…11001101010000
321200020011221220
412210013031100
5211143130000
614532245040
72505042501
oct644071520
9250204856
10110130000
1157190332
1230a70780
1319a7c5a6
14108aaba8
159a061a0
hex6907350

110130000 has 100 divisors (see below), whose sum is σ = 355611168. Its totient is φ = 29360000.

The previous prime is 110129963. The next prime is 110130001. The reversal of 110130000 is 31011.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110130001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 28165 + ... + 31835.

Almost surely, 2110130000 is an apocalyptic number.

110130000 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 110130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177805584).

110130000 is an abundant number, since it is smaller than the sum of its proper divisors (245481168).

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

110130000 is an equidigital number, since it uses as much as digits as its factorization.

110130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3702 (or 3681 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 110130000 is about 10494.2841585313. The cubic root of 110130000 is about 479.3306643013.

Adding to 110130000 its reverse (31011), we get a palindrome (110161011).

The spelling of 110130000 in words is "one hundred ten million, one hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3671 3750 5000 6000 7342 7500 10000 11013 14684 15000 18355 22026 29368 30000 36710 44052 55065 58736 73420 88104 91775 110130 146840 176208 183550 220260 275325 293680 367100 440520 458875 550650 734200 881040 917750 1101300 1376625 1468400 1835500 2202600 2294375 2753250 3671000 4405200 4588750 5506500 6883125 7342000 9177500 11013000 13766250 18355000 22026000 27532500 36710000 55065000 110130000