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1132005121 = 13374161941
BaseRepresentation
bin100001101111001…
…0000011100000001
32220220001211002121
41003132100130001
54304243130441
6304154444241
740023612322
oct10336203401
92826054077
101132005121
11530a95225
12277133681
131506a8520
14aa4b0449
15695a8dd1
hex43790701

1132005121 has 32 divisors (see below), whose sum is σ = 1304978976. Its totient is φ = 974592000.

The previous prime is 1132005113. The next prime is 1132005137. The reversal of 1132005121 is 1215002311.

It can be written as a sum of positive squares in 16 ways, for example, as 676780225 + 455224896 = 26015^2 + 21336^2 .

It is a cyclic number.

It is not a de Polignac number, because 1132005121 - 23 = 1132005113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1132005095 and 1132005104.

It is not an unprimeable number, because it can be changed into a prime (1132005101) 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, 1202511 + ... + 1203451.

It is an arithmetic number, because the mean of its divisors is an integer number (40780593).

Almost surely, 21132005121 is an apocalyptic number.

It is an amenable number.

1132005121 is a deficient number, since it is larger than the sum of its proper divisors (172973855).

1132005121 is a wasteful number, since it uses less digits than its factorization.

1132005121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093.

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 1132005121 is about 33645.2837853985. The cubic root of 1132005121 is about 1042.1961484331.

Adding to 1132005121 its reverse (1215002311), we get a palindrome (2347007432).

The spelling of 1132005121 in words is "one billion, one hundred thirty-two million, five thousand, one hundred twenty-one".

Divisors: 1 13 37 41 61 481 533 793 941 1517 2257 2501 12233 19721 29341 32513 34817 38581 57401 92537 452621 501553 746213 1202981 1427497 2123837 2353441 18557461 27609881 30594733 87077317 1132005121