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1330331121 = 3472399817
BaseRepresentation
bin100111101001011…
…0011110111110001
310102201020211020000
41033102303313301
510211031043441
6340001340213
744652425250
oct11722636761
93381224200
101330331121
11622a34509
12311637669
131827c78a2
14c8978797
157bbd22b6
hex4f4b3df1

1330331121 has 40 divisors (see below), whose sum is σ = 2280917760. Its totient is φ = 756931392.

The previous prime is 1330331089. The next prime is 1330331129. The reversal of 1330331121 is 1211330331.

It is a happy number.

1330331121 is a `hidden beast` number, since 1 + 330 + 3 + 311 + 21 = 666.

It is not a de Polignac number, because 1330331121 - 25 = 1330331089 is a prime.

It is a super-2 number, since 2×13303311212 = 3539561783002233282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1330331094 and 1330331103.

It is not an unprimeable number, because it can be changed into a prime (1330331129) 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 39 ways as a sum of consecutive naturals, for example, 130605 + ... + 140421.

It is an arithmetic number, because the mean of its divisors is an integer number (57022944).

Almost surely, 21330331121 is an apocalyptic number.

It is an amenable number.

1330331121 is a deficient number, since it is larger than the sum of its proper divisors (950586639).

1330331121 is an equidigital number, since it uses as much as digits as its factorization.

1330331121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10075 (or 10066 counting only the distinct ones).

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

The square root of 1330331121 is about 36473.7045143484. The cubic root of 1330331121 is about 1099.8157049374.

Adding to 1330331121 its reverse (1211330331), we get a palindrome (2541661452).

The spelling of 1330331121 in words is "one billion, three hundred thirty million, three hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 81 189 239 567 717 1673 2151 5019 6453 9817 15057 19359 29451 45171 68719 88353 135513 206157 265059 618471 795177 1855413 2346263 5566239 7038789 16423841 21116367 49271523 63349101 147814569 190047303 443443707 1330331121