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2243131321301 = 131717989564229
BaseRepresentation
bin100000101001000101000…
…010111010101111010101
321221102220200022200020222
4200221011002322233111
5243222413104240201
64434251425004125
7321026612431343
oct40510502725725
97842820280228
102243131321301
11795341175072
12302898183645
131336ac5a9330
147a7d4d6a993
153d537cbc91b
hex20a450babd5

2243131321301 has 16 divisors (see below), whose sum is σ = 2557925420400. Its totient is φ = 1948671986688.

The previous prime is 2243131321201. The next prime is 2243131321307. The reversal of 2243131321301 is 1031231313422.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 138748800100 + 2104382521201 = 372490^2 + 1450649^2 .

It is a cyclic number.

It is not a de Polignac number, because 2243131321301 - 222 = 2243127126997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243131321307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3693455 + ... + 4257683.

It is an arithmetic number, because the mean of its divisors is an integer number (159870338775).

Almost surely, 22243131321301 is an apocalyptic number.

It is an amenable number.

2243131321301 is a deficient number, since it is larger than the sum of its proper divisors (314794099099).

2243131321301 is a wasteful number, since it uses less digits than its factorization.

2243131321301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582248.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 2243131321301 its reverse (1031231313422), we get a palindrome (3274362634723).

The spelling of 2243131321301 in words is "two trillion, two hundred forty-three billion, one hundred thirty-one million, three hundred twenty-one thousand, three hundred one".

Divisors: 1 13 17 221 17989 233857 305813 564229 3975569 7334977 9591893 124694609 10149915481 131948901253 172548563177 2243131321301