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33132244234241 = 421509941164309
BaseRepresentation
bin1111000100010001100111…
…01001011111000000000001
311100022102010001211012011202
413202020303221133000001
513320314314010443431
6154244424243350545
76656503620161525
oct742106351370001
9140272101735152
1033132244234241
11a6143401292a9
123871301682455
131564484a92219
14827875821d85
153c6ca43d98cb
hex1e2233a5f001

33132244234241 has 16 divisors (see below), whose sum is σ = 33311755904400. Its totient is φ = 32953349587200.

The previous prime is 33132244234189. The next prime is 33132244234267. The reversal of 33132244234241 is 14243244223133.

It can be written as a sum of positive squares in 8 ways, for example, as 7377177481216 + 25755066753025 = 2716096^2 + 5074945^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33132244234241 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33132244234195 and 33132244234204.

It is not an unprimeable number, because it can be changed into a prime (33132244434241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201563795 + ... + 201728103.

It is an arithmetic number, because the mean of its divisors is an integer number (2081984744025).

Almost surely, 233132244234241 is an apocalyptic number.

It is an amenable number.

33132244234241 is a deficient number, since it is larger than the sum of its proper divisors (179511670159).

33132244234241 is a wasteful number, since it uses less digits than its factorization.

33132244234241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166180.

The product of its digits is 331776, while the sum is 38.

Adding to 33132244234241 its reverse (14243244223133), we get a palindrome (47375488457374).

The spelling of 33132244234241 in words is "thirty-three trillion, one hundred thirty-two billion, two hundred forty-four million, two hundred thirty-four thousand, two hundred forty-one".

Divisors: 1 421 509 941 164309 214289 396161 478969 69174089 83633281 154614769 201645949 35209611301 65092817749 78698917421 33132244234241