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33000224013 = 36349112967
BaseRepresentation
bin11110101110111101…
…110111010100001101
310011011211202002000000
4132232331313110031
51020041024132023
623054325154513
72245530163431
oct365675672415
9104154662000
1033000224013
1112aa4847809
12648b85ba39
13315bb27593
141850aac9c1
15cd2214243
hex7aef7750d

33000224013 has 28 divisors (see below), whose sum is σ = 49495691808. Its totient is φ = 21992151240.

The previous prime is 33000223961. The next prime is 33000224051. The reversal of 33000224013 is 31042200033.

It is not a de Polignac number, because 33000224013 - 210 = 33000222989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33000224083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2538456 + ... + 2551422.

Almost surely, 233000224013 is an apocalyptic number.

It is an amenable number.

33000224013 is a deficient number, since it is larger than the sum of its proper divisors (16495467795).

33000224013 is an equidigital number, since it uses as much as digits as its factorization.

33000224013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16476 (or 16461 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 33000224013 its reverse (31042200033), we get a palindrome (64042424046).

The spelling of 33000224013 in words is "thirty-three billion, two hundred twenty-four thousand, thirteen".

Divisors: 1 3 9 27 81 243 729 3491 10473 12967 31419 38901 94257 116703 282771 350109 848313 1050327 2544939 3150981 9452943 45267797 135803391 407410173 1222230519 3666691557 11000074671 33000224013