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3201441012 = 22327115092269
BaseRepresentation
bin1011111011010010…
…0001110011110100
322021010002001110100
42332310201303310
523024032103022
61245401554100
7142222541160
oct27664416364
98233061410
103201441012
1113a3148020
127541a5930
133c03546c3
14225281ca0
1513b0d51ac
hexbed21cf4

3201441012 has 144 divisors (see below), whose sum is σ = 10113667200. Its totient is φ = 829543680.

The previous prime is 3201440999. The next prime is 3201441013. The reversal of 3201441012 is 2101441023.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201441013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1409814 + ... + 1412082.

It is an arithmetic number, because the mean of its divisors is an integer number (70233800).

Almost surely, 23201441012 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 3201441012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5056833600).

3201441012 is an abundant number, since it is smaller than the sum of its proper divisors (6912226188).

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

3201441012 is a wasteful number, since it uses less digits than its factorization.

3201441012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2806 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3201441012 is about 56581.2779283042. The cubic root of 3201441012 is about 1473.8337634948.

Adding to 3201441012 its reverse (2101441023), we get a palindrome (5302882035).

The spelling of 3201441012 in words is "three billion, two hundred one million, four hundred forty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 509 693 924 1018 1386 1527 2036 2269 2772 3054 3563 4538 4581 5599 6108 6807 7126 9076 9162 10689 11198 13614 14252 15883 16797 18324 20421 21378 22396 24959 27228 31766 32067 33594 39193 40842 42756 47649 49918 50391 63532 64134 67188 74877 78386 81684 95298 99836 100782 117579 128268 142947 149754 156772 174713 190596 201564 224631 235158 285894 299508 349426 352737 449262 470316 524139 571788 698852 705474 898524 1048278 1154921 1410948 1572417 2096556 2309842 3144834 3464763 4619684 6289668 6929526 8084447 10394289 12704131 13859052 16168894 20788578 24253341 25408262 32337788 38112393 41577156 48506682 50816524 72760023 76224786 88928917 97013364 114337179 145520046 152449572 177857834 228674358 266786751 291040092 355715668 457348716 533573502 800360253 1067147004 1600720506 3201441012