Search a number
-
+
3325202025233 = 112191798080273
BaseRepresentation
bin110000011000110101011…
…111000100101100010001
3102202212221001020211112012
4300120311133010230101
5413440003204301413
611023324323312305
7462144414601604
oct60306537045421
912685831224465
103325202025233
111072234945600
1245854351b695
131b17469ab07a
14b6d2517033b
155b7696ce7a8
hex306357c4b11

3325202025233 has 24 divisors (see below), whose sum is σ = 3868835191200. Its totient is φ = 2847811063680.

The previous prime is 3325202025161. The next prime is 3325202025239.

3325202025233 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3325202025233 - 228 = 3324933589777 is a prime.

It is a super-3 number, since 3×33252020252333 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3325202025233.

It is not an unprimeable number, because it can be changed into a prime (3325202025239) 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 23 ways as a sum of consecutive naturals, for example, 3628616 + ... + 4451657.

It is an arithmetic number, because the mean of its divisors is an integer number (161201466300).

Almost surely, 23325202025233 is an apocalyptic number.

It is an amenable number.

3325202025233 is a deficient number, since it is larger than the sum of its proper divisors (543633165967).

3325202025233 is a wasteful number, since it uses less digits than its factorization.

3325202025233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8080493 (or 8080482 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 32.

The spelling of 3325202025233 in words is "three trillion, three hundred twenty-five billion, two hundred two million, twenty-five thousand, two hundred thirty-three".

Divisors: 1 11 19 121 179 209 1969 2299 3401 21659 37411 411521 8080273 88883003 153525187 977713033 1446368867 1688777057 15910057537 18576547627 27481008473 175010632907 302291093203 3325202025233