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13000023333 = 3211675473583
BaseRepresentation
bin11000001101101110…
…01001110100100101
31020112222211121110200
430012313021310211
5203111001221313
65545551341113
7640103242443
oct140667116445
936488747420
1013000023333
1155711a0a40
122629821799
1312c23ac4cb
148b4773b93
15511458b73
hex306dc9d25

13000023333 has 48 divisors (see below), whose sum is σ = 20834451456. Its totient is φ = 7744857120.

The previous prime is 13000023331. The next prime is 13000023341. The reversal of 13000023333 is 33332000031.

13000023333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13000023333 - 21 = 13000023331 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000023331) 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 47 ways as a sum of consecutive naturals, for example, 3626460 + ... + 3630042.

It is an arithmetic number, because the mean of its divisors is an integer number (434051072).

Almost surely, 213000023333 is an apocalyptic number.

It is an amenable number.

13000023333 is a deficient number, since it is larger than the sum of its proper divisors (7834428123).

13000023333 is a wasteful number, since it uses less digits than its factorization.

13000023333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4214 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 13000023333 its reverse (33332000031), we get a palindrome (46332023364).

The spelling of 13000023333 in words is "thirteen billion, twenty-three thousand, three hundred thirty-three".

Divisors: 1 3 9 11 33 67 99 201 547 603 737 1641 2211 3583 4923 6017 6633 10749 18051 32247 36649 39413 54153 109947 118239 240061 329841 354717 403139 720183 1209417 1959901 2160549 2640671 3628251 5879703 7922013 17639109 21558911 23766039 64676733 131313367 194030199 393940101 1181820303 1444447037 4333341111 13000023333