Search a number
-
+
13331020311103 = 1117373691907701
BaseRepresentation
bin1100000111111101111010…
…1110101110101000111111
31202012102200201121122002211
43001333132232232220333
53221403412144423403
644204104114401251
72544064052666605
oct301773656565077
952172621548084
1013331020311103
11427a721476940
1215b3783890227
1375915737b1a1
14341320cc9875
15181b8531406d
hexc1fdebaea3f

13331020311103 has 16 divisors (see below), whose sum is σ = 15398817927840. Its totient is φ = 11405909376000.

The previous prime is 13331020311101. The next prime is 13331020311113. The reversal of 13331020311103 is 30111302013331.

It is a cyclic number.

It is not a de Polignac number, because 13331020311103 - 21 = 13331020311101 is a prime.

It is a super-2 number, since 2×133310203111032 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331020311101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6034153 + ... + 7941853.

It is an arithmetic number, because the mean of its divisors is an integer number (962426120490).

Almost surely, 213331020311103 is an apocalyptic number.

13331020311103 is a deficient number, since it is larger than the sum of its proper divisors (2067797616737).

13331020311103 is a wasteful number, since it uses less digits than its factorization.

13331020311103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945098.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 13331020311103 its reverse (30111302013331), we get a palindrome (43442322324434).

The spelling of 13331020311103 in words is "thirteen trillion, three hundred thirty-one billion, twenty million, three hundred eleven thousand, one hundred three".

Divisors: 1 11 17 187 37369 411059 635273 1907701 6988003 20984711 32430917 356740087 71288878669 784177665359 1211910937373 13331020311103