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33011012321 = 722113318833
BaseRepresentation
bin11110101111100111…
…000001001011100001
310011012121001011202222
4132233213001023201
51020101304343241
623055352320425
72246020655300
oct365747011341
9104177034688
1033011012321
1112aaa946171
1264933a3115
133161133bb1
1418522ba437
15cd3145a4b
hex7af9c12e1

33011012321 has 12 divisors (see below), whose sum is σ = 38418859332. Its totient is φ = 28281673728.

The previous prime is 33011012299. The next prime is 33011012327. The reversal of 33011012321 is 12321011033.

It can be written as a sum of positive squares in 2 ways, for example, as 3000300625 + 30010711696 = 54775^2 + 173236^2 .

It is not a de Polignac number, because 33011012321 - 26 = 33011012257 is a prime.

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 33011012321.

It is not an unprimeable number, because it can be changed into a prime (33011012327) 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 11 ways as a sum of consecutive naturals, for example, 55880 + ... + 262953.

It is an arithmetic number, because the mean of its divisors is an integer number (3201571611).

Almost surely, 233011012321 is an apocalyptic number.

It is an amenable number.

33011012321 is a deficient number, since it is larger than the sum of its proper divisors (5407847011).

33011012321 is a wasteful number, since it uses less digits than its factorization.

33011012321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320960 (or 320953 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 33011012321 its reverse (12321011033), we get a palindrome (45332023354).

The spelling of 33011012321 in words is "thirty-three billion, eleven million, twelve thousand, three hundred twenty-one".

Divisors: 1 7 49 2113 14791 103537 318833 2231831 15622817 673694129 4715858903 33011012321