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11125205500 = 2253473891217
BaseRepresentation
bin10100101110001110…
…10010100111111100
31001201100000222220011
422113013102213330
5140241023034000
65035535433004
7542456454313
oct122707224774
931640028804
1011125205500
114799985612
1221a5985764
131083b54a46
1477778327a
15451a722ba
hex2971d29fc

11125205500 has 96 divisors (see below), whose sum is σ = 24898648320. Its totient is φ = 4340633600.

The previous prime is 11125205477. The next prime is 11125205513. The reversal of 11125205500 is 550252111.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9140892 + ... + 9142108.

It is an arithmetic number, because the mean of its divisors is an integer number (259360920).

Almost surely, 211125205500 is an apocalyptic number.

11125205500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11125205500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12449324160).

11125205500 is an abundant number, since it is smaller than the sum of its proper divisors (13773442820).

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

11125205500 is a wasteful number, since it uses less digits than its factorization.

11125205500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 22.

Adding to 11125205500 its reverse (550252111), we get a palindrome (11675457611).

The spelling of 11125205500 in words is "eleven billion, one hundred twenty-five million, two hundred five thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 125 188 235 250 389 470 500 778 940 1175 1217 1556 1945 2350 2434 3890 4700 4868 5875 6085 7780 9725 11750 12170 18283 19450 23500 24340 30425 36566 38900 48625 57199 60850 73132 91415 97250 114398 121700 152125 182830 194500 228796 285995 304250 365660 457075 473413 571990 608500 914150 946826 1143980 1429975 1828300 1893652 2285375 2367065 2859950 4570750 4734130 5719900 7149875 9141500 9468260 11835325 14299750 22250411 23670650 28599500 44500822 47341300 59176625 89001644 111252055 118353250 222504110 236706500 445008220 556260275 1112520550 2225041100 2781301375 5562602750 11125205500