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1331200143141 = 311172139582693
BaseRepresentation
bin10011010111110001101…
…101100010111100100101
311201021001121220221111020
4103113301231202330211
5133302244214040031
62455313411001353
7165114244343001
oct23276155427445
94637047827436
101331200143141
1147361685a560
12195bb4299259
13986bb003bbb
144860515d701
15249630b7096
hex135f1b62f25

1331200143141 has 24 divisors (see below), whose sum is σ = 2056890578784. Its totient is φ = 759329844480.

The previous prime is 1331200143121. The next prime is 1331200143167. The reversal of 1331200143141 is 1413410021331.

It is a happy number.

It is not a de Polignac number, because 1331200143141 - 210 = 1331200142117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331200143101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69781810 + ... + 69800883.

It is an arithmetic number, because the mean of its divisors is an integer number (85703774116).

Almost surely, 21331200143141 is an apocalyptic number.

1331200143141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1331200143141 is a deficient number, since it is larger than the sum of its proper divisors (725690435643).

1331200143141 is a wasteful number, since it uses less digits than its factorization.

1331200143141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139582741 (or 139582724 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1331200143141 its reverse (1413410021331), we get a palindrome (2744610164472).

The spelling of 1331200143141 in words is "one trillion, three hundred thirty-one billion, two hundred million, one hundred forty-three thousand, one hundred forty-one".

Divisors: 1 3 11 17 33 51 187 289 561 867 3179 9537 139582693 418748079 1535409623 2372905781 4606228869 7118717343 26101963591 40339398277 78305890773 121018194831 443733381047 1331200143141