Search a number
-
+
13223130103233 = 34163248519793
BaseRepresentation
bin1100000001101011111111…
…1110001111110111000001
31201211010012200011012110000
43000122333332033313001
53213121432301300413
644042342213030213
72533224330235611
oct300327776176701
951733180135400
1013223130103233
114238997242896
121596893625369
1374bc21cba1bb
1433a007dc0a41
1517de6d56a073
hexc06bff8fdc1

13223130103233 has 10 divisors (see below), whose sum is σ = 19753070895074. Its totient is φ = 8815420068768.

The previous prime is 13223130103187. The next prime is 13223130103241. The reversal of 13223130103233 is 33230103132231.

13223130103233 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 31 + 301 + 0 + 323 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12751412511744 + 471717591489 = 3570912^2 + 686817^2 .

It is not a de Polignac number, because 13223130103233 - 220 = 13223129054657 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 = 13223130103197 and 13223130103206.

It is not an unprimeable number, because it can be changed into a prime (13223130103273) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 81624259816 + ... + 81624259977.

Almost surely, 213223130103233 is an apocalyptic number.

It is an amenable number.

13223130103233 is a deficient number, since it is larger than the sum of its proper divisors (6529940791841).

13223130103233 is an equidigital number, since it uses as much as digits as its factorization.

13223130103233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163248519805 (or 163248519796 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13223130103233 its reverse (33230103132231), we get a palindrome (46453233235464).

The spelling of 13223130103233 in words is "thirteen trillion, two hundred twenty-three billion, one hundred thirty million, one hundred three thousand, two hundred thirty-three".

Divisors: 1 3 9 27 81 163248519793 489745559379 1469236678137 4407710034411 13223130103233