Search a number
-
+
115123002365501 = 1329764849108293
BaseRepresentation
bin11010001011010000101001…
…101010010101011000111101
3120002121122120222022111012222
4122023100221222111120331
5110042133402101144001
61044502435511535125
733151235214241424
oct3213205152253075
9502548528274188
10115123002365501
1133755433648479
1210ab373868a4a5
134c3108b581c00
14205dda96902bb
15d4993079961b
hex68b429a9563d

115123002365501 has 24 divisors (see below), whose sum is σ = 125948077050600. Its totient is φ = 105169253769216.

The previous prime is 115123002365473. The next prime is 115123002365611. The reversal of 115123002365501 is 105563200321511.

It can be written as a sum of positive squares in 12 ways, for example, as 99458235765625 + 15664766599876 = 9972875^2 + 3957874^2 .

It is a de Polignac number, because none of the positive numbers 2k-115123002365501 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115123002365101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1063015511 + ... + 1063123803.

It is an arithmetic number, because the mean of its divisors is an integer number (5247836543775).

Almost surely, 2115123002365501 is an apocalyptic number.

It is an amenable number.

115123002365501 is a deficient number, since it is larger than the sum of its proper divisors (10825074685099).

115123002365501 is a wasteful number, since it uses less digits than its factorization.

115123002365501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173265 (or 173252 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

The spelling of 115123002365501 in words is "one hundred fifteen trillion, one hundred twenty-three billion, two million, three hundred sixty-five thousand, five hundred one".

Divisors: 1 13 97 169 1261 16393 64849 108293 843037 1407809 6290353 10504421 10959481 18301517 81774589 136557473 1063069657 1775247149 7022692757 91295005841 681201197429 1186835075933 8855615566577 115123002365501