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1331201205 = 32579737117
BaseRepresentation
bin100111101011000…
…1000010010110101
310102202220000202100
41033112020102311
510211241414310
6340032132313
744663011035
oct11726102265
93382800670
101331201205
11623479194
12311997099
13182a40929
14c8b238c5
157bd04ec0
hex4f5884b5

1331201205 has 24 divisors (see below), whose sum is σ = 2310372792. Its totient is φ = 709064064.

The previous prime is 1331201197. The next prime is 1331201219. The reversal of 1331201205 is 5021021331.

It can be written as a sum of positive squares in 4 ways, for example, as 162792081 + 1168409124 = 12759^2 + 34182^2 .

It is not a de Polignac number, because 1331201205 - 23 = 1331201197 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17307 + ... + 54423.

It is an arithmetic number, because the mean of its divisors is an integer number (96265533).

Almost surely, 21331201205 is an apocalyptic number.

1331201205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1331201205 is a deficient number, since it is larger than the sum of its proper divisors (979171587).

1331201205 is a wasteful number, since it uses less digits than its factorization.

1331201205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37925 (or 37922 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1331201205 is about 36485.6301165267. The cubic root of 1331201205 is about 1100.0554255819.

Adding to 1331201205 its reverse (5021021331), we get a palindrome (6352222536).

The spelling of 1331201205 in words is "one billion, three hundred thirty-one million, two hundred one thousand, two hundred five".

Divisors: 1 3 5 9 15 45 797 2391 3985 7173 11955 35865 37117 111351 185585 334053 556755 1670265 29582249 88746747 147911245 266240241 443733735 1331201205