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1330313121 = 32178694857
BaseRepresentation
bin100111101001010…
…1111011110100001
310102201012220112100
41033102233132201
510211030004441
6340001121013
744652321624
oct11722573641
93381186470
101330313121
11622a21a35
12311629169
131827bc637
14c8971dbb
157bbcbcb6
hex4f4af7a1

1330313121 has 12 divisors (see below), whose sum is σ = 2034596772. Its totient is φ = 834706176.

The previous prime is 1330313111. The next prime is 1330313129. The reversal of 1330313121 is 1213130331.

It is a happy number.

1330313121 is a `hidden beast` number, since 1 + 330 + 313 + 1 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 518063121 + 812250000 = 22761^2 + 28500^2 .

It is not a de Polignac number, because 1330313121 - 219 = 1329788833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1330313094 and 1330313103.

It is not an unprimeable number, because it can be changed into a prime (1330313129) 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, 4347276 + ... + 4347581.

It is an arithmetic number, because the mean of its divisors is an integer number (169549731).

Almost surely, 21330313121 is an apocalyptic number.

It is an amenable number.

1330313121 is a deficient number, since it is larger than the sum of its proper divisors (704283651).

1330313121 is a wasteful number, since it uses less digits than its factorization.

1330313121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8694880 (or 8694877 counting only the distinct ones).

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

The square root of 1330313121 is about 36473.4577604043. The cubic root of 1330313121 is about 1099.8107445754.

Adding to 1330313121 its reverse (1213130331), we get a palindrome (2543443452).

The spelling of 1330313121 in words is "one billion, three hundred thirty million, three hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 3 9 17 51 153 8694857 26084571 78253713 147812569 443437707 1330313121