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13130223241221 = 3217181474135097
BaseRepresentation
bin1011111100010001111001…
…0010101100100000000101
31201111020101211111121021200
42333010132102230200011
53210111144122204341
643531535152333113
72523425113031652
oct277043622544005
951436354447250
1013130223241221
1142025507962a9
121580885244199
13743236b93a38
14335713002c29
1517b831de5db6
hexbf11e4ac805

13130223241221 has 24 divisors (see below), whose sum is σ = 20192465553624. Its totient is φ = 8193054458880.

The previous prime is 13130223241199. The next prime is 13130223241241. The reversal of 13130223241221 is 12214232203131.

13130223241221 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 0 + 223 + 2 + 412 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 682656012900 + 12447567228321 = 826230^2 + 3528111^2 .

It is not a de Polignac number, because 13130223241221 - 29 = 13130223240709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130223241241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237039856 + ... + 237095241.

It is an arithmetic number, because the mean of its divisors is an integer number (841352731401).

Almost surely, 213130223241221 is an apocalyptic number.

It is an amenable number.

13130223241221 is a deficient number, since it is larger than the sum of its proper divisors (7062242312403).

13130223241221 is a wasteful number, since it uses less digits than its factorization.

13130223241221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474135301 (or 474135298 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13130223241221 its reverse (12214232203131), we get a palindrome (25344455444352).

The spelling of 13130223241221 in words is "thirteen trillion, one hundred thirty billion, two hundred twenty-three million, two hundred forty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 17 51 153 181 543 1629 3077 9231 27693 474135097 1422405291 4267215873 8060296649 24180889947 72542669841 85818452557 257455357671 772366073013 1458913693469 4376741080407 13130223241221