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13330331112033 = 3213716247256877
BaseRepresentation
bin1100000111111011010110…
…1001101001001001100001
31202012100220200202200201100
43001332311221221021201
53221401004231041113
644203511454425013
72544041013622065
oct301766551511141
952170820680640
1013330331112033
11427a3a8434431
1215b3610b02169
137590776510a0
14341297563aa5
15181b44a76d73
hexc1fb5a69261

13330331112033 has 48 divisors (see below), whose sum is σ = 21031575941376. Its totient is φ = 8086415379840.

The previous prime is 13330331112031. The next prime is 13330331112067. The reversal of 13330331112033 is 33021113303331.

13330331112033 is a `hidden beast` number, since 1 + 3 + 3 + 303 + 311 + 12 + 0 + 33 = 666.

13330331112033 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 13330331112033 - 21 = 13330331112031 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13330331111988 and 13330331112006.

It is not an unprimeable number, because it can be changed into a prime (13330331112031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51765391 + ... + 52022267.

It is an arithmetic number, because the mean of its divisors is an integer number (438157832112).

Almost surely, 213330331112033 is an apocalyptic number.

13330331112033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13330331112033 is a deficient number, since it is larger than the sum of its proper divisors (7701244829343).

13330331112033 is a wasteful number, since it uses less digits than its factorization.

13330331112033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263214 (or 263211 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 13330331112033 its reverse (33021113303331), we get a palindrome (46351444415364).

The spelling of 13330331112033 in words is "thirteen trillion, three hundred thirty billion, three hundred thirty-one million, one hundred twelve thousand, thirty-three".

Divisors: 1 3 9 13 39 71 117 213 639 923 2769 6247 8307 18741 56223 81211 243633 256877 443537 730899 770631 1330611 2311893 3339401 3991833 5765981 10018203 17297943 18238267 30054609 51893829 54714801 164144403 237097471 711292413 1604710619 2133877239 4814131857 14442395571 20861238047 62583714141 113934453949 187751142423 341803361847 1025410085541 1481147901337 4443443704011 13330331112033