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201130516566 = 232729173318173
BaseRepresentation
bin1011101101010001010…
…0000010000001010110
3201020011010112212200100
42323110110002001112
511243403403012231
6232221552554530
720350126116450
oct2732424020126
9636133485610
10201130516566
1178331a2a011
1232b92252a46
1315c745c5ca5
149a402c52d0
1553728371e6
hex2ed4502056

201130516566 has 96 divisors (see below), whose sum is σ = 518190903360. Its totient is φ = 55163388672.

The previous prime is 201130516519. The next prime is 201130516579. The reversal of 201130516566 is 665615031102.

201130516566 is a `hidden beast` number, since 2 + 0 + 1 + 130 + 516 + 5 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 201130516566.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 473056 + ... + 791228.

It is an arithmetic number, because the mean of its divisors is an integer number (5397821910).

Almost surely, 2201130516566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201130516566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259095451680).

201130516566 is an abundant number, since it is smaller than the sum of its proper divisors (317060386794).

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

201130516566 is a wasteful number, since it uses less digits than its factorization.

201130516566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318390 (or 318387 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 201130516566 its reverse (665615031102), we get a palindrome (866745547668).

The spelling of 201130516566 in words is "two hundred one billion, one hundred thirty million, five hundred sixteen thousand, five hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 173 174 203 261 346 406 519 522 609 1038 1211 1218 1557 1827 2422 3114 3633 3654 5017 7266 10034 10899 15051 21798 30102 35119 45153 70238 90306 105357 210714 316071 318173 632142 636346 954519 1909038 2227211 2863557 4454422 5727114 6681633 9227017 13363266 18454034 20044899 27681051 40089798 55043929 55362102 64589119 83043153 110087858 129178238 165131787 166086306 193767357 330263574 385307503 387534714 495395361 581302071 770615006 990790722 1155922509 1162604142 1596273941 2311845018 3192547882 3467767527 4788821823 6935535054 9577643646 11173917587 14366465469 22347835174 28732930938 33521752761 67043505522 100565258283 201130516566