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1330311213 = 327118921569
BaseRepresentation
bin100111101001010…
…1111000000101101
310102201012210220200
41033102233000231
510211024424323
6340001104113
744652313230
oct11722570055
93381183820
101330311213
11622a20560
12311628039
131827bb7ca
14c8971417
157bbcb443
hex4f4af02d

1330311213 has 48 divisors (see below), whose sum is σ = 2422742400. Its totient is φ = 683274240.

The previous prime is 1330311181. The next prime is 1330311221. The reversal of 1330311213 is 3121130331.

It is a happy number.

1330311213 is a `hidden beast` number, since 1 + 330 + 311 + 21 + 3 = 666.

It is not a de Polignac number, because 1330311213 - 25 = 1330311181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330311263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50893 + ... + 72461.

It is an arithmetic number, because the mean of its divisors is an integer number (50473800).

Almost surely, 21330311213 is an apocalyptic number.

It is an amenable number.

1330311213 is a deficient number, since it is larger than the sum of its proper divisors (1092431187).

1330311213 is a wasteful number, since it uses less digits than its factorization.

1330311213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21682 (or 21679 counting only the distinct ones).

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

The square root of 1330311213 is about 36473.4316043884. The cubic root of 1330311213 is about 1099.8102187744.

Adding to 1330311213 its reverse (3121130331), we get a palindrome (4451441544).

The spelling of 1330311213 in words is "one billion, three hundred thirty million, three hundred eleven thousand, two hundred thirteen".

Divisors: 1 3 7 9 11 21 33 63 77 89 99 231 267 623 693 801 979 1869 2937 5607 6853 8811 20559 21569 61677 64707 150983 194121 237259 452949 711777 1358847 1660813 1919641 2135331 4982439 5758923 13437487 14947317 17276769 21116051 40312461 63348153 120937383 147812357 190044459 443437071 1330311213