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1320331131 = 33715594481
BaseRepresentation
bin100111010110010…
…1010011101111011
310102000102202211000
41032230222131323
510201001044011
6335003140043
744501425620
oct11654523573
93360382730
101320331131
11618324359
1230a214623
13180706032
14c74d4347
157ada9356
hex4eb2a77b

1320331131 has 32 divisors (see below), whose sum is σ = 2237414400. Its totient is φ = 753822720.

The previous prime is 1320331127. The next prime is 1320331139. The reversal of 1320331131 is 1311330231.

It is a happy number.

1320331131 is a `hidden beast` number, since 1 + 320 + 3 + 311 + 31 = 666.

It is not a de Polignac number, because 1320331131 - 22 = 1320331127 is a prime.

It is a super-2 number, since 2×13203311312 = 3486548590975478322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1320331139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292411 + ... + 296891.

It is an arithmetic number, because the mean of its divisors is an integer number (69919200).

Almost surely, 21320331131 is an apocalyptic number.

1320331131 is a deficient number, since it is larger than the sum of its proper divisors (917083269).

1320331131 is a wasteful number, since it uses less digits than its factorization.

1320331131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6056 (or 6050 counting only the distinct ones).

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

The square root of 1320331131 is about 36336.3610038210. The cubic root of 1320331131 is about 1097.0530295588.

Adding to 1320331131 its reverse (1311330231), we get a palindrome (2631661362).

The spelling of 1320331131 in words is "one billion, three hundred twenty million, three hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 189 1559 4481 4677 10913 13443 14031 31367 32739 40329 42093 94101 98217 120987 282303 294651 846909 6985879 20957637 48901153 62872911 146703459 188618733 440110377 1320331131