Search a number
-
+
115336750775103 = 33111329872248323
BaseRepresentation
bin11010001110010111101110…
…000011110011101100111111
3120010101002022110122202011000
4122032113232003303230333
5110104134131144300403
61045144545530101343
733202543126606314
oct3216275603635477
9503332273582130
10115336750775103
113382804aa98260
1210b2905057a853
134c482940316a0
14206a485676d0b
15d50290c067a3
hex68e5ee0f3b3f

115336750775103 has 32 divisors (see below), whose sum is σ = 200741508737280. Its totient is φ = 64524056375520.

The previous prime is 115336750775101. The next prime is 115336750775131. The reversal of 115336750775103 is 301577057633511.

115336750775103 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 3 + 6 + 7 + 50 + 77 + 510 + 3 = 666.

It is not a de Polignac number, because 115336750775103 - 21 = 115336750775101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 115336750775103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115336750775101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14936120301 + ... + 14936128022.

It is an arithmetic number, because the mean of its divisors is an integer number (6273172148040).

Almost surely, 2115336750775103 is an apocalyptic number.

115336750775103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

115336750775103 is a deficient number, since it is larger than the sum of its proper divisors (85404757962177).

115336750775103 is a wasteful number, since it uses less digits than its factorization.

115336750775103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29872248356 (or 29872248350 counting only the distinct ones).

The product of its (nonzero) digits is 6945750, while the sum is 54.

The spelling of 115336750775103 in words is "one hundred fifteen trillion, three hundred thirty-six billion, seven hundred fifty million, seven hundred seventy-five thousand, one hundred three".

Divisors: 1 3 9 11 13 27 33 39 99 117 143 297 351 429 1287 3861 29872248323 89616744969 268850234907 328594731553 388339228199 806550704721 985784194659 1165017684597 2957352583977 3495053053791 4271731510189 8872057751931 10485159161373 12815194530567 38445583591701 115336750775103