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11104355000 = 23543122311
BaseRepresentation
bin10100101011101111…
…10000001010111000
31001122212210200101102
422111313300022320
5140220203330000
65033512510532
7542114313554
oct122567601270
931585720342
1011104355000
1147891342a2
12219a9ab448
13107c73447b
14774ab6864
1544ed043d5
hex295df02b8

11104355000 has 120 divisors (see below), whose sum is σ = 26895484440. Its totient is φ = 4296600000.

The previous prime is 11104354991. The next prime is 11104355051. The reversal of 11104355000 is 55340111.

11104355000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 29 ways as a sum of consecutive naturals, for example, 4803845 + ... + 4806155.

It is an arithmetic number, because the mean of its divisors is an integer number (224129037).

Almost surely, 211104355000 is an apocalyptic number.

11104355000 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 11104355000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13447742220).

11104355000 is an abundant number, since it is smaller than the sum of its proper divisors (15791129440).

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

11104355000 is an equidigital number, since it uses as much as digits as its factorization.

11104355000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 11104355000 its reverse (55340111), we get a palindrome (11159695111).

The spelling of 11104355000 in words is "eleven billion, one hundred four million, three hundred fifty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 310 500 620 625 775 961 1000 1240 1250 1550 1922 2311 2500 3100 3844 3875 4622 4805 5000 6200 7688 7750 9244 9610 11555 15500 18488 19220 19375 23110 24025 31000 38440 38750 46220 48050 57775 71641 77500 92440 96100 115550 120125 143282 155000 192200 231100 240250 286564 288875 358205 462200 480500 573128 577750 600625 716410 961000 1155500 1201250 1432820 1444375 1791025 2220871 2311000 2402500 2865640 2888750 3582050 4441742 4805000 5777500 7164100 8883484 8955125 11104355 11555000 14328200 17766968 17910250 22208710 35820500 44417420 44775625 55521775 71641000 88834840 89551250 111043550 179102500 222087100 277608875 358205000 444174200 555217750 1110435500 1388044375 2220871000 2776088750 5552177500 11104355000