Search a number
-
+
13312202312133 = 34792080356667
BaseRepresentation
bin1100000110110111110100…
…0101110000100111000101
31202010122010021020020110000
43001231331011300213011
53221101342242442013
644151312531351513
72542526532435054
oct301557505604705
952118107206400
1013312202312133
11427274517a77a
1215abbb1752599
1375744883535a
143404579aa39b
1518143322a973
hexc1b7d1709c5

13312202312133 has 20 divisors (see below), whose sum is σ = 20137852546240. Its totient is φ = 8762462277192.

The previous prime is 13312202312099. The next prime is 13312202312141. The reversal of 13312202312133 is 33121320221331.

13312202312133 is a `hidden beast` number, since 1 + 3 + 3 + 12 + 202 + 312 + 133 = 666.

13312202312133 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 13312202312133 - 216 = 13312202246597 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13312202312097 and 13312202312106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13312202312933) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1040171935 + ... + 1040184732.

It is an arithmetic number, because the mean of its divisors is an integer number (1006892627312).

Almost surely, 213312202312133 is an apocalyptic number.

It is an amenable number.

13312202312133 is a deficient number, since it is larger than the sum of its proper divisors (6825650234107).

13312202312133 is an equidigital number, since it uses as much as digits as its factorization.

13312202312133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080356758 (or 2080356749 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13312202312133 its reverse (33121320221331), we get a palindrome (46433522533464).

The spelling of 13312202312133 in words is "thirteen trillion, three hundred twelve billion, two hundred two million, three hundred twelve thousand, one hundred thirty-three".

Divisors: 1 3 9 27 79 81 237 711 2133 6399 2080356667 6241070001 18723210003 56169630009 164348176693 168508890027 493044530079 1479133590237 4437400770711 13312202312133