Search a number
-
+
4133220401321 = 111919776174169
BaseRepresentation
bin111100001001010111001…
…000100100000010101001
3112122010120020101021122222
4330021113020210002221
51020204313410320241
612442435241323425
7604421024510444
oct74112710440251
915563506337588
104133220401321
1113539861889a0
12569067196575
1323c9b7c32a7b
141040983c465b
15727ab8eba4b
hex3c2572240a9

4133220401321 has 8 divisors (see below), whose sum is σ = 4746281800800. Its totient is φ = 3559711350240.

The previous prime is 4133220401281. The next prime is 4133220401351. The reversal of 4133220401321 is 1231040223314.

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

It is not a de Polignac number, because 4133220401321 - 26 = 4133220401257 is a prime.

It is a super-5 number, since 5×41332204013215 (a number of 64 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4133220401351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9888086876 + ... + 9888087293.

It is an arithmetic number, because the mean of its divisors is an integer number (593285225100).

Almost surely, 24133220401321 is an apocalyptic number.

It is an amenable number.

4133220401321 is a deficient number, since it is larger than the sum of its proper divisors (613061399479).

4133220401321 is a wasteful number, since it uses less digits than its factorization.

4133220401321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19776174199.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 4133220401321 its reverse (1231040223314), we get a palindrome (5364260624635).

The spelling of 4133220401321 in words is "four trillion, one hundred thirty-three billion, two hundred twenty million, four hundred one thousand, three hundred twenty-one".

Divisors: 1 11 19 209 19776174169 217537915859 375747309211 4133220401321