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1321311141 = 32414721621
BaseRepresentation
bin100111011000001…
…1001101110100101
310102002021120010200
41032300121232211
510201223424031
6335040141113
744512650033
oct11660315645
93362246120
101321311141
11618933687
1230a607799
1318098a117
14c76ab553
157aeee8e6
hex4ec19ba5

1321311141 has 36 divisors (see below), whose sum is σ = 1998826284. Its totient is φ = 840585600.

The previous prime is 1321311133. The next prime is 1321311143. The reversal of 1321311141 is 1411131231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 477641025 + 843670116 = 21855^2 + 29046^2 .

It is not a de Polignac number, because 1321311141 - 23 = 1321311133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321311143) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 814311 + ... + 815931.

Almost surely, 21321311141 is an apocalyptic number.

It is an amenable number.

1321311141 is a deficient number, since it is larger than the sum of its proper divisors (677515143).

1321311141 is a wasteful number, since it uses less digits than its factorization.

1321311141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1712 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 1321311141 is about 36349.8437548224. The cubic root of 1321311141 is about 1097.3243900335.

Adding to 1321311141 its reverse (1411131231), we get a palindrome (2732442372).

The spelling of 1321311141 in words is "one billion, three hundred twenty-one million, three hundred eleven thousand, one hundred forty-one".

Divisors: 1 3 9 41 47 123 141 369 423 1621 1927 2209 4863 5781 6627 14589 17343 19881 66461 76187 90569 199383 228561 271707 598149 685683 815121 3123667 3580789 9371001 10742367 28113003 32227101 146812349 440437047 1321311141