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115120205145 = 32511523444677
BaseRepresentation
bin110101100110110110…
…0101110110101011001
3102000010220222100101200
41223031230232311121
53341231233031040
6124515133304413
711213533412151
oct1531554566531
9360126870350
10115120205145
114490539a010
121a389635109
13ab18224baa
145801215761
152edb895630
hex1acdb2ed59

115120205145 has 48 divisors (see below), whose sum is σ = 218098550592. Its totient is φ = 55709009280.

The previous prime is 115120205143. The next prime is 115120205159. The reversal of 115120205145 is 541502021511.

It is a happy number.

115120205145 is a `hidden beast` number, since 1 + 1 + 5 + 120 + 20 + 514 + 5 = 666.

It is not a de Polignac number, because 115120205145 - 21 = 115120205143 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (115120205143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36547 + ... + 481223.

It is an arithmetic number, because the mean of its divisors is an integer number (4543719804).

Almost surely, 2115120205145 is an apocalyptic number.

115120205145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

115120205145 is a deficient number, since it is larger than the sum of its proper divisors (102978345447).

115120205145 is a wasteful number, since it uses less digits than its factorization.

115120205145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445222 (or 445219 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

Adding to 115120205145 its reverse (541502021511), we get a palindrome (656622226656).

The spelling of 115120205145 in words is "one hundred fifteen billion, one hundred twenty million, two hundred five thousand, one hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 523 1569 2615 4707 5753 7845 17259 23535 28765 51777 86295 258885 444677 1334031 2223385 4002093 4891447 6670155 14674341 20010465 24457235 44023023 73371705 220115115 232566071 697698213 1162830355 2093094639 2558226781 3488491065 7674680343 10465473195 12791133905 23024041029 38373401715 115120205145