Search a number
-
+
13330201101301 = 744335391214659
BaseRepresentation
bin1100000111111010110111…
…1001101100001111110101
31202012100120122010110112001
43001332231321230033311
53221400222440220201
644203450532055301
72544034544555050
oct301765571541765
952170518113461
1013330201101301
11427a341005447
1215b3595464531
13759056730766
1434128419da97
15181b38445301
hexc1fade6c3f5

13330201101301 has 16 divisors (see below), whose sum is σ = 15273232012800. Its totient is φ = 11396863930608.

The previous prime is 13330201101281. The next prime is 13330201101313. The reversal of 13330201101301 is 10310110203331.

It is a cyclic number.

It is not a de Polignac number, because 13330201101301 - 223 = 13330192712693 is a prime.

It is a super-3 number, since 3×133302011013013 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13330201101101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10367110 + ... + 11581768.

It is an arithmetic number, because the mean of its divisors is an integer number (954577000800).

Almost surely, 213330201101301 is an apocalyptic number.

It is an amenable number.

13330201101301 is a deficient number, since it is larger than the sum of its proper divisors (1943030911499).

13330201101301 is a wasteful number, since it uses less digits than its factorization.

13330201101301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218648.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 13330201101301 its reverse (10310110203331), we get a palindrome (23640311304632).

It can be divided in two parts, 1333020 and 1101301, that added together give a triangular number (2434321 = T2206).

The spelling of 13330201101301 in words is "thirteen trillion, three hundred thirty billion, two hundred one million, one hundred one thousand, three hundred one".

Divisors: 1 7 443 3101 3539 24773 1214659 1567777 8502613 10974439 538093937 3766657559 4298678201 30090747407 1904314443043 13330201101301