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4133110020 = 2235137017559
BaseRepresentation
bin1111011001011010…
…0100000100000100
3101200001011202001220
43312112210010010
531431034010040
61522042520340
7204264566304
oct36626440404
911601152056
104133110020
11183103a806
129742060b0
1350b388940
142b2cc3604
15192cba2d0
hexf65a4104

4133110020 has 96 divisors (see below), whose sum is σ = 12482346240. Its totient is φ = 1015795200.

The previous prime is 4133110019. The next prime is 4133110021. The reversal of 4133110020 is 200113314.

It is an interprime number because it is at equal distance from previous prime (4133110019) and next prime (4133110021).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (4133110021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 543001 + ... + 550559.

It is an arithmetic number, because the mean of its divisors is an integer number (130024440).

Almost surely, 24133110020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4133110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6241173120).

4133110020 is an abundant number, since it is smaller than the sum of its proper divisors (8349236220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4133110020 is a wasteful number, since it uses less digits than its factorization.

4133110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8285 (or 8283 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 4133110020 is about 64289.2683112819. The cubic root of 4133110020 is about 1604.8175140201.

Adding to 4133110020 its reverse (200113314), we get a palindrome (4333223334).

The spelling of 4133110020 in words is "four billion, one hundred thirty-three million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 701 780 1402 2103 2804 3505 4206 7010 7559 8412 9113 10515 14020 15118 18226 21030 22677 27339 30236 36452 37795 42060 45354 45565 54678 75590 90708 91130 98267 109356 113385 136695 151180 182260 196534 226770 273390 294801 393068 453540 491335 546780 589602 982670 1179204 1474005 1965340 2948010 5298859 5896020 10597718 15896577 21195436 26494295 31793154 52988590 63586308 68885167 79482885 105977180 137770334 158965770 206655501 275540668 317931540 344425835 413311002 688851670 826622004 1033277505 1377703340 2066555010 4133110020