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2000133441 = 321811227829
BaseRepresentation
bin111011100110111…
…1001110101000001
312011101121022021100
41313031321311001
513044013232231
6530245445013
7100364565555
oct16715716501
95141538240
102000133441
11937028949
12479a10769
1325b4c3017
1414d8d1865
15ba8dc1e6
hex77379d41

2000133441 has 12 divisors (see below), whose sum is σ = 2905045780. Its totient is φ = 1326054240.

The previous prime is 2000133427. The next prime is 2000133461. The reversal of 2000133441 is 1443310002.

It can be written as a sum of positive squares in 2 ways, for example, as 7403841 + 1992729600 = 2721^2 + 44640^2 .

It is not a de Polignac number, because 2000133441 - 215 = 2000100673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2000133461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 612286 + ... + 615543.

Almost surely, 22000133441 is an apocalyptic number.

It is an amenable number.

2000133441 is a deficient number, since it is larger than the sum of its proper divisors (904912339).

2000133441 is a wasteful number, since it uses less digits than its factorization.

2000133441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228016 (or 1228013 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2000133441 is about 44722.8514408462. The cubic root of 2000133441 is about 1259.9490701258.

Adding to 2000133441 its reverse (1443310002), we get a palindrome (3443443443).

The spelling of 2000133441 in words is "two billion, one hundred thirty-three thousand, four hundred forty-one".

Divisors: 1 3 9 181 543 1629 1227829 3683487 11050461 222237049 666711147 2000133441