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1330123113 = 341121131201
BaseRepresentation
bin100111101001000…
…0001000101101001
310102200212020220000
41033102001011221
510211002414423
6335553053213
744650600644
oct11722010551
93380766800
101330123113
11622902200
12311557209
13182753cc7
14c8922a5b
157bb90843
hex4f481169

1330123113 has 60 divisors (see below), whose sum is σ = 2205191604. Its totient is φ = 798336000.

The previous prime is 1330123087. The next prime is 1330123121. The reversal of 1330123113 is 3113210331.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10036224 + 1320086889 = 3168^2 + 36333^2 .

It is not a de Polignac number, because 1330123113 - 26 = 1330123049 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330123153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1106913 + ... + 1108113.

Almost surely, 21330123113 is an apocalyptic number.

It is an amenable number.

1330123113 is a deficient number, since it is larger than the sum of its proper divisors (875068491).

1330123113 is a wasteful number, since it uses less digits than its factorization.

1330123113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1328 counting only the distinct ones).

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

The square root of 1330123113 is about 36470.8529239446. The cubic root of 1330123113 is about 1099.7583802644.

Adding to 1330123113 its reverse (3113210331), we get a palindrome (4443333444).

The spelling of 1330123113 in words is "one billion, three hundred thirty million, one hundred twenty-three thousand, one hundred thirteen".

Divisors: 1 3 9 11 27 33 81 99 113 121 297 339 363 891 1017 1089 1201 1243 3051 3267 3603 3729 9153 9801 10809 11187 13211 13673 32427 33561 39633 41019 97281 100683 118899 123057 135713 145321 356697 369171 407139 435963 1070091 1107513 1221417 1307889 1492843 3664251 3923667 4478529 10992753 11771001 13435587 16421273 40306761 49263819 120920283 147791457 443374371 1330123113