Search a number
-
+
1330313201 = 7229936181
BaseRepresentation
bin100111101001010…
…1111011111110001
310102201012220122022
41033102233133301
510211030010301
6340001121225
744652322100
oct11722573761
93381186568
101330313201
11622a21aa8
12311629215
131827bc699
14c8972037
157bbcbd1b
hex4f4af7f1

1330313201 has 12 divisors (see below), whose sum is σ = 1600871220. Its totient is φ = 1100947680.

The previous prime is 1330313167. The next prime is 1330313219. The reversal of 1330313201 is 1023130331.

It can be written as a sum of positive squares in 2 ways, for example, as 1091641600 + 238671601 = 33040^2 + 15449^2 .

It is not a de Polignac number, because 1330313201 - 210 = 1330312177 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1330313201.

It is not an unprimeable number, because it can be changed into a prime (1330313221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 466670 + ... + 469511.

It is an arithmetic number, because the mean of its divisors is an integer number (133405935).

Almost surely, 21330313201 is an apocalyptic number.

It is an amenable number.

1330313201 is a deficient number, since it is larger than the sum of its proper divisors (270558019).

1330313201 is an equidigital number, since it uses as much as digits as its factorization.

1330313201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936224 (or 936217 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 1330313201 is about 36473.4588570922. The cubic root of 1330313201 is about 1099.8107666215.

Adding to 1330313201 its reverse (1023130331), we get a palindrome (2353443532).

The spelling of 1330313201 in words is "one billion, three hundred thirty million, three hundred thirteen thousand, two hundred one".

Divisors: 1 7 29 49 203 1421 936181 6553267 27149249 45872869 190044743 1330313201