Search a number
-
+
13313211320003 = 719933292870899
BaseRepresentation
bin1100000110111011100100…
…1110110100011011000011
31202010201201120212011000212
43001232321032310123003
53221110424044220003
644152001014104335
72542563534034010
oct301567116643303
952121646764025
1013313211320003
114273112796281
1215b023364b0ab
137575798a762a
143405119c0707
15181491adadd8
hexc1bb93b46c3

13313211320003 has 16 divisors (see below), whose sum is σ = 15296155200000. Its totient is φ = 11350566070272.

The previous prime is 13313211319997. The next prime is 13313211320047. The reversal of 13313211320003 is 30002311231331.

It is a cyclic number.

It is not a de Polignac number, because 13313211320003 - 26 = 13313211319939 is a prime.

It is a super-3 number, since 3×133132113200033 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13313211320303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3201848 + ... + 6072746.

It is an arithmetic number, because the mean of its divisors is an integer number (956009700000).

Almost surely, 213313211320003 is an apocalyptic number.

13313211320003 is a deficient number, since it is larger than the sum of its proper divisors (1982943879997).

13313211320003 is a wasteful number, since it uses less digits than its factorization.

13313211320003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2874434.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 13313211320003 its reverse (30002311231331), we get a palindrome (43315522551334).

The spelling of 13313211320003 in words is "thirteen trillion, three hundred thirteen billion, two hundred eleven million, three hundred twenty thousand, three".

Divisors: 1 7 199 1393 3329 23303 662471 2870899 4637297 20096293 571308901 3999162307 9557222771 66900559397 1901887331429 13313211320003