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114130500 = 22353116917
BaseRepresentation
bin1101100110101…
…11111001000100
321221202102121120
412303113321010
5213204134000
615154113540
72554043661
oct663277104
9257672546
10114130500
1159472a30
123227b8b0
131a850453
141122ca68
15a0466a0
hex6cd7e44

114130500 has 96 divisors (see below), whose sum is σ = 362613888. Its totient is φ = 27664000.

The previous prime is 114130493. The next prime is 114130507. The reversal of 114130500 is 5031411.

It is an interprime number because it is at equal distance from previous prime (114130493) and next prime (114130507).

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 114130500.

It is not an unprimeable number, because it can be changed into a prime (114130507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13042 + ... + 19958.

It is an arithmetic number, because the mean of its divisors is an integer number (3777228).

Almost surely, 2114130500 is an apocalyptic number.

114130500 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 114130500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181306944).

114130500 is an abundant number, since it is smaller than the sum of its proper divisors (248483388).

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

114130500 is a wasteful number, since it uses less digits than its factorization.

114130500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6950 (or 6938 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 114130500 is about 10683.1877265168. The cubic root of 114130500 is about 485.0657083185.

Adding to 114130500 its reverse (5031411), we get a palindrome (119161911).

The spelling of 114130500 in words is "one hundred fourteen million, one hundred thirty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 125 132 150 165 220 250 275 300 330 375 500 550 660 750 825 1100 1375 1500 1650 2750 3300 4125 5500 6917 8250 13834 16500 20751 27668 34585 41502 69170 76087 83004 103755 138340 152174 172925 207510 228261 304348 345850 380435 415020 456522 518775 691700 760870 864625 913044 1037550 1141305 1521740 1729250 1902175 2075100 2282610 2593875 3458500 3804350 4565220 5187750 5706525 7608700 9510875 10375500 11413050 19021750 22826100 28532625 38043500 57065250 114130500