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1331140432131 = 32192497768347
BaseRepresentation
bin10011010111101110001…
…001110001000100000011
311201020220110120022101100
4103113232021301010003
5133302133422312011
62455303435105443
7165112620661266
oct23275611610403
94636813508340
101331140432131
11473596086814
12195b982a2283
13986ab828643
14485db258cdd
152495cc1ed56
hex135ee271103

1331140432131 has 12 divisors (see below), whose sum is σ = 1922770892952. Its totient is φ = 887421189696.

The previous prime is 1331140432129. The next prime is 1331140432147. The reversal of 1331140432131 is 1312340411331.

1331140432131 is a `hidden beast` number, since 1 + 33 + 11 + 404 + 3 + 213 + 1 = 666.

It is not a de Polignac number, because 1331140432131 - 21 = 1331140432129 is a prime.

It is a super-2 number, since 2×13311404321312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1331140432095 and 1331140432104.

It is not an unprimeable number, because it can be changed into a prime (1331140432031) 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 11 ways as a sum of consecutive naturals, for example, 1348300 + ... + 2116646.

It is an arithmetic number, because the mean of its divisors is an integer number (160230907746).

Almost surely, 21331140432131 is an apocalyptic number.

1331140432131 is a deficient number, since it is larger than the sum of its proper divisors (591630460821).

1331140432131 is a wasteful number, since it uses less digits than its factorization.

1331140432131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960850 (or 960847 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 1331140432131 its reverse (1312340411331), we get a palindrome (2643480843462).

The spelling of 1331140432131 in words is "one trillion, three hundred thirty-one billion, one hundred forty million, four hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 192497 577491 768347 1732473 2305041 6915123 147904492459 443713477377 1331140432131