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1301133213 = 3424166653
BaseRepresentation
bin100110110001101…
…1011011110011101
310100200022102020000
41031203123132131
510131042230323
6333035444513
744146310202
oct11543333635
93320272200
101301133213
11608501706
123038b6739
13179743a13
14c4b37ca9
1579365e43
hex4d8db79d

1301133213 has 20 divisors (see below), whose sum is σ = 1951762428. Its totient is φ = 863809920.

The previous prime is 1301133193. The next prime is 1301133217. The reversal of 1301133213 is 3123311031.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 354832569 + 946300644 = 18837^2 + 30762^2 .

It is not a de Polignac number, because 1301133213 - 25 = 1301133181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301133217) 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 19 ways as a sum of consecutive naturals, for example, 13806 + ... + 52847.

Almost surely, 21301133213 is an apocalyptic number.

It is an amenable number.

1301133213 is a deficient number, since it is larger than the sum of its proper divisors (650629215).

1301133213 is an equidigital number, since it uses as much as digits as its factorization.

1301133213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66906 (or 66897 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1301133213 is about 36071.2241683035. The cubic root of 1301133213 is about 1091.7099141916.

Adding to 1301133213 its reverse (3123311031), we get a palindrome (4424444244).

The spelling of 1301133213 in words is "one billion, three hundred one million, one hundred thirty-three thousand, two hundred thirteen".

Divisors: 1 3 9 27 81 241 723 2169 6507 19521 66653 199959 599877 1799631 5398893 16063373 48190119 144570357 433711071 1301133213