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11006110050 = 23521319297061
BaseRepresentation
bin10100100000000001…
…11110100101100010
31001102000221022122120
422100000332211202
5140020031010200
65020043045110
7536512251255
oct122000764542
931360838576
1011006110050
114738731421
122171b10796
131065286770
14765a2109c
154463999a0
hex29003e962

11006110050 has 96 divisors (see below), whose sum is σ = 30941977920. Its totient is φ = 2566598400.

The previous prime is 11006110019. The next prime is 11006110051. The reversal of 11006110050 is 5001160011.

It is a super-2 number, since 2×110061100502 (a number of 21 digits) contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11006110051) 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 47 ways as a sum of consecutive naturals, for example, 111481 + ... + 185580.

It is an arithmetic number, because the mean of its divisors is an integer number (322312270).

Almost surely, 211006110050 is an apocalyptic number.

11006110050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11006110050 is an abundant number, since it is smaller than the sum of its proper divisors (19935867870).

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

11006110050 is a wasteful number, since it uses less digits than its factorization.

11006110050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297108 (or 297103 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 11006110050 its reverse (5001160011), we get a palindrome (16007270061).

The spelling of 11006110050 in words is "eleven billion, six million, one hundred ten thousand, fifty".

Divisors: 1 2 3 5 6 10 13 15 19 25 26 30 38 39 50 57 65 75 78 95 114 130 150 190 195 247 285 325 390 475 494 570 650 741 950 975 1235 1425 1482 1950 2470 2850 3705 6175 7410 12350 18525 37050 297061 594122 891183 1485305 1782366 2970610 3861793 4455915 5644159 7426525 7723586 8911830 11288318 11585379 14853050 16932477 19308965 22279575 23170758 28220795 33864954 38617930 44559150 56441590 57926895 73374067 84662385 96544825 115853790 141103975 146748134 169324770 193089650 220122201 282207950 289634475 366870335 423311925 440244402 579268950 733740670 846623850 1100611005 1834351675 2201222010 3668703350 5503055025 11006110050