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1330420311 = 321113438589
BaseRepresentation
bin100111101001100…
…1001101001010111
310102201102100120100
41033103021221113
510211041422221
6340003305143
744653246263
oct11723115127
93381370510
101330420311
11622a95520
1231167b1b3
1318282936c
14c899d0a3
157bbed926
hex4f4c9a57

1330420311 has 12 divisors (see below), whose sum is σ = 2096420040. Its totient is φ = 806315280.

The previous prime is 1330420297. The next prime is 1330420321. The reversal of 1330420311 is 1130240331.

1330420311 is a `hidden beast` number, since 1 + 330 + 4 + 20 + 311 = 666.

It is not a de Polignac number, because 1330420311 - 25 = 1330420279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330420321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6719196 + ... + 6719393.

It is an arithmetic number, because the mean of its divisors is an integer number (174701670).

Almost surely, 21330420311 is an apocalyptic number.

1330420311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1330420311 is a deficient number, since it is larger than the sum of its proper divisors (765999729).

1330420311 is a wasteful number, since it uses less digits than its factorization.

1330420311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13438606 (or 13438603 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1330420311 is about 36474.9271555133. The cubic root of 1330420311 is about 1099.8402828712.

Adding to 1330420311 its reverse (1130240331), we get a palindrome (2460660642).

The spelling of 1330420311 in words is "one billion, three hundred thirty million, four hundred twenty thousand, three hundred eleven".

Divisors: 1 3 9 11 33 99 13438589 40315767 120947301 147824479 443473437 1330420311