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13301344043333 = 1729134692003149
BaseRepresentation
bin1100000110001111010111…
…1000110000000101000101
31202002121002112111000212022
43001203311320300011011
53220412123033341313
644142315245132525
72541663463612523
oct301436570600505
952077075430768
1013301344043333
114269082a46705
1215a9a8125a145
137564080a3028
1433db07871313
15180ee9d35c08
hexc18f5e30145

13301344043333 has 16 divisors (see below), whose sum is σ = 14570512470000. Its totient is φ = 12086321974272.

The previous prime is 13301344043321. The next prime is 13301344043417. The reversal of 13301344043333 is 33334044310331.

It can be written as a sum of positive squares in 8 ways, for example, as 282811489 + 13301061231844 = 16817^2 + 3647062^2 .

It is a cyclic number.

It is not a de Polignac number, because 13301344043333 - 218 = 13301343781189 is a prime.

It is a super-2 number, since 2×133013440433332 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13301344043293 and 13301344043302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13301344043833) 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 15 ways as a sum of consecutive naturals, for example, 5638643 + ... + 7641791.

It is an arithmetic number, because the mean of its divisors is an integer number (910657029375).

Almost surely, 213301344043333 is an apocalyptic number.

It is an amenable number.

13301344043333 is a deficient number, since it is larger than the sum of its proper divisors (1269168426667).

13301344043333 is a wasteful number, since it uses less digits than its factorization.

13301344043333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016664.

The product of its (nonzero) digits is 139968, while the sum is 35.

Adding to 13301344043333 its reverse (33334044310331), we get a palindrome (46635388353664).

The spelling of 13301344043333 in words is "thirteen trillion, three hundred one billion, three hundred forty-four million, forty-three thousand, three hundred thirty-three".

Divisors: 1 17 29 493 13469 228973 390601 2003149 6640217 34053533 58091321 987552457 26980413881 458667035977 782432002549 13301344043333