Search a number
-
+
12225131398359 = 32112233121177427
BaseRepresentation
bin1011000111100110001010…
…0111010100010011010111
31121021201012102112002202200
42301321202213110103113
53100244032114221414
642000051533135543
72401144103224335
oct261714247242327
947251172462680
1012225131398359
113993715a69610
12145538b92a5b3
136a8a95530379
143039b168cb55
1516300c870109
hexb1e629d44d7

12225131398359 has 48 divisors (see below), whose sum is σ = 19356537467904. Its totient is φ = 7373540678400.

The previous prime is 12225131398321. The next prime is 12225131398387. The reversal of 12225131398359 is 95389313152221.

12225131398359 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 513 + 1 + 3 + 98 + 35 + 9 = 666.

It is not a de Polignac number, because 12225131398359 - 29 = 12225131397847 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12225131398309) 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 47 ways as a sum of consecutive naturals, for example, 68813604 + ... + 68991030.

It is an arithmetic number, because the mean of its divisors is an integer number (403261197248).

Almost surely, 212225131398359 is an apocalyptic number.

12225131398359 is a deficient number, since it is larger than the sum of its proper divisors (7131406069545).

12225131398359 is a wasteful number, since it uses less digits than its factorization.

12225131398359 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180788 (or 180785 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The spelling of 12225131398359 in words is "twelve trillion, two hundred twenty-five billion, one hundred thirty-one million, three hundred ninety-eight thousand, three hundred fifty-nine".

Divisors: 1 3 9 11 33 99 223 669 2007 2453 3121 7359 9363 22077 28089 34331 102993 177427 308979 532281 695983 1596843 1951697 2087949 5855091 6263847 7655813 17565273 22967439 39566221 68902317 118698663 356095989 435228431 553749667 1305685293 1661249001 3917055879 4983747003 6091246337 18273739011 54821217033 123486175741 370458527223 1111375581669 1358347933151 4075043799453 12225131398359