Search a number
-
+
33001310321 = 72673496129
BaseRepresentation
bin11110101111000010…
…000000100001110001
310011011220210021010122
4132233002000201301
51020041313412241
623054404340025
72245542336500
oct365702004161
9104156707118
1033001310321
1112aa5419991
1264900a4615
13315c117b75
141850cb2837
15cd237b04b
hex7af080871

33001310321 has 6 divisors (see below), whose sum is σ = 38389279410. Its totient is φ = 28286837376.

The previous prime is 33001310257. The next prime is 33001310383. The reversal of 33001310321 is 12301310033.

It can be written as a sum of positive squares in only one way, i.e., 21297316096 + 11703994225 = 145936^2 + 108185^2 .

It is not a de Polignac number, because 33001310321 - 26 = 33001310257 is a prime.

It is a super-2 number, since 2×330013103212 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

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 33001310321.

It is not an unprimeable number, because it can be changed into a prime (33001319321) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 336748016 + ... + 336748113.

It is an arithmetic number, because the mean of its divisors is an integer number (6398213235).

Almost surely, 233001310321 is an apocalyptic number.

It is an amenable number.

33001310321 is a deficient number, since it is larger than the sum of its proper divisors (5387969089).

33001310321 is an equidigital number, since it uses as much as digits as its factorization.

33001310321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673496143 (or 673496136 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 33001310321 its reverse (12301310033), we get a palindrome (45302620354).

The spelling of 33001310321 in words is "thirty-three billion, one million, three hundred ten thousand, three hundred twenty-one".

Divisors: 1 7 49 673496129 4714472903 33001310321