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521106012 = 223272837307
BaseRepresentation
bin11111000011110…
…111001001011100
31100022112221001200
4133003313021130
52031400343022
6123413035500
715625220340
oct3703671134
91308487050
10521106012
11248172729
12126625b90
1383c64a6b
144d2cb620
1530b36bac
hex1f0f725c

521106012 has 72 divisors (see below), whose sum is σ = 1510943616. Its totient is φ = 148341024.

The previous prime is 521105987. The next prime is 521106073. The reversal of 521106012 is 210601125.

521106012 is a `hidden beast` number, since 52 + 1 + 10 + 601 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67663 + ... + 74969.

It is an arithmetic number, because the mean of its divisors is an integer number (20985328).

Almost surely, 2521106012 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 521106012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755471808).

521106012 is an abundant number, since it is smaller than the sum of its proper divisors (989837604).

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

521106012 is a wasteful number, since it uses less digits than its factorization.

521106012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7607 (or 7602 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 521106012 is about 22827.7465379305. The cubic root of 521106012 is about 804.7148724659.

Adding to 521106012 its reverse (210601125), we get a palindrome (731707137).

The spelling of 521106012 in words is "five hundred twenty-one million, one hundred six thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 283 566 849 1132 1698 1981 2547 3396 3962 5094 5943 7307 7924 10188 11886 14614 17829 21921 23772 29228 35658 43842 51149 65763 71316 87684 102298 131526 153447 204596 263052 306894 460341 613788 920682 1841364 2067881 4135762 6203643 8271524 12407286 14475167 18610929 24814572 28950334 37221858 43425501 57900668 74443716 86851002 130276503 173702004 260553006 521106012