Search a number
-
+
13132330222133 = 293016115014057
BaseRepresentation
bin1011111100011001101111…
…1000001100001000110101
31201111102211200011022201202
42333012123320030020311
53210130003014102013
643532524220302245
72523531246052313
oct277063370141065
951442750138652
1013132330222133
114203432062241
1215811729a1985
137434b15571c5
14335872b890b3
1517b906d8b858
hexbf19be0c235

13132330222133 has 8 divisors (see below), whose sum is σ = 13585620521880. Its totient is φ = 12679070010880.

The previous prime is 13132330222111. The next prime is 13132330222211. The reversal of 13132330222133 is 33122203323131.

It can be written as a sum of positive squares in 4 ways, for example, as 3696633011569 + 9435697210564 = 1922663^2 + 3071758^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13132330222133 - 226 = 13132263113269 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13132330222096 and 13132330222105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132330222433) 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 7 ways as a sum of consecutive naturals, for example, 6632360 + ... + 8381697.

It is an arithmetic number, because the mean of its divisors is an integer number (1698202565235).

Almost surely, 213132330222133 is an apocalyptic number.

It is an amenable number.

13132330222133 is a deficient number, since it is larger than the sum of its proper divisors (453290299747).

13132330222133 is a wasteful number, since it uses less digits than its factorization.

13132330222133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15044247.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 13132330222133 its reverse (33122203323131), we get a palindrome (46254533545264).

The spelling of 13132330222133 in words is "thirteen trillion, one hundred thirty-two billion, three hundred thirty million, two hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 29 30161 874669 15014057 435407653 452838973177 13132330222133