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1141331132133 = 32140819006077
BaseRepresentation
bin10000100110111100101…
…000101111111011100101
311001002222022212211020100
4100212330220233323211
5122144421232212013
62232153103054313
7145313151361023
oct20467450577345
94032868784210
101141331132133
11400043740335
121652455a1399
138381c875b8a
143d35277b713
151ea4e277473
hex109bca2fee5

1141331132133 has 12 divisors (see below), whose sum is σ = 1648706675148. Its totient is φ = 760833300480.

The previous prime is 1141331132093. The next prime is 1141331132171. The reversal of 1141331132133 is 3312311331411.

1141331132133 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 331 + 1 + 321 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1023006827844 + 118324304289 = 1011438^2 + 343983^2 .

It is not a de Polignac number, because 1141331132133 - 28 = 1141331131877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1141331132097 and 1141331132106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141331132233) 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 11 ways as a sum of consecutive naturals, for example, 4376310 + ... + 4629767.

It is an arithmetic number, because the mean of its divisors is an integer number (137392222929).

Almost surely, 21141331132133 is an apocalyptic number.

It is an amenable number.

1141331132133 is a deficient number, since it is larger than the sum of its proper divisors (507375543015).

1141331132133 is a wasteful number, since it uses less digits than its factorization.

1141331132133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9020164 (or 9020161 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 1141331132133 its reverse (3312311331411), we get a palindrome (4453642463544).

The spelling of 1141331132133 in words is "one trillion, one hundred forty-one billion, three hundred thirty-one million, one hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 14081 42243 126729 9006077 27018231 81054693 126814570237 380443710711 1141331132133