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1331133141 = 313195992999
BaseRepresentation
bin100111101010111…
…0111101011010101
310102202202120101110
41033111313223111
510211232230031
6340030445233
744662305432
oct11725675325
93382676343
101331133141
11623432038
12311963819
13182a18960
14c8b06b89
157bcdec46
hex4f577ad5

1331133141 has 32 divisors (see below), whose sum is σ = 2016000000. Its totient is φ = 774491328.

The previous prime is 1331133113. The next prime is 1331133151. The reversal of 1331133141 is 1413311331.

It is not a de Polignac number, because 1331133141 - 26 = 1331133077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331133151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 442360 + ... + 445358.

It is an arithmetic number, because the mean of its divisors is an integer number (63000000).

Almost surely, 21331133141 is an apocalyptic number.

It is an amenable number.

1331133141 is a deficient number, since it is larger than the sum of its proper divisors (684866859).

1331133141 is a wasteful number, since it uses less digits than its factorization.

1331133141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633.

The product of its digits is 324, while the sum is 21.

The square root of 1331133141 is about 36484.6973538222. The cubic root of 1331133141 is about 1100.0366767385.

Adding to 1331133141 its reverse (1413311331), we get a palindrome (2744444472).

The spelling of 1331133141 in words is "one billion, three hundred thirty-one million, one hundred thirty-three thousand, one hundred forty-one".

Divisors: 1 3 13 19 39 57 247 599 741 1797 2999 7787 8997 11381 23361 34143 38987 56981 116961 147953 170943 443859 740753 1796401 2222259 5389203 23353213 34131619 70059639 102394857 443711047 1331133141