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1321330131 = 331111339371
BaseRepresentation
bin100111011000001…
…1110010111010011
310102002022112012000
41032300132113103
510201230031011
6335040405043
744513056302
oct11660362723
93362275160
101321330131
11618946980
1230a616783
13180995964
14c76b4439
157b005356
hex4ec1e5d3

1321330131 has 32 divisors (see below), whose sum is σ = 2154435840. Its totient is φ = 793699200.

The previous prime is 1321330123. The next prime is 1321330139. The reversal of 1321330131 is 1310331231.

It is a happy number.

1321330131 is a `hidden beast` number, since 1 + 321 + 330 + 13 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1321330123) and next prime (1321330139).

It is not a de Polignac number, because 1321330131 - 23 = 1321330123 is a prime.

It is a super-2 number, since 2×13213301312 = 3491826630176954322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1321330139) 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 31 ways as a sum of consecutive naturals, for example, 13876 + ... + 53246.

It is an arithmetic number, because the mean of its divisors is an integer number (67326120).

Almost surely, 21321330131 is an apocalyptic number.

1321330131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1321330131 is a deficient number, since it is larger than the sum of its proper divisors (833105709).

1321330131 is a wasteful number, since it uses less digits than its factorization.

1321330131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39504 (or 39498 counting only the distinct ones).

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

The square root of 1321330131 is about 36350.1049654606. The cubic root of 1321330131 is about 1097.3296469559.

Adding to 1321330131 its reverse (1310331231), we get a palindrome (2631661362).

The spelling of 1321330131 in words is "one billion, three hundred twenty-one million, three hundred thirty thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 113 297 339 1017 1243 3051 3729 11187 33561 39371 118113 354339 433081 1063017 1299243 3897729 4448923 11693187 13346769 40040307 48938153 120120921 146814459 440443377 1321330131