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11204435000 = 2354111012017
BaseRepresentation
bin10100110111101011…
…00001110000111000
31001220212010021100002
422123311201300320
5140421313410000
65051445532132
7544441061153
oct123365416070
931825107302
1011204435000
11482a67a940
122208414048
1310973a54c5
147840c8c9a
154589c28d5
hex29bd61c38

11204435000 has 160 divisors (see below), whose sum is σ = 28936424880. Its totient is φ = 4032000000.

The previous prime is 11204434973. The next prime is 11204435063. The reversal of 11204435000 is 53440211.

11204435000 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 39 ways as a sum of consecutive naturals, for example, 5553992 + ... + 5556008.

Almost surely, 211204435000 is an apocalyptic number.

11204435000 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 11204435000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14468212440).

11204435000 is an abundant number, since it is smaller than the sum of its proper divisors (17731989880).

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

11204435000 is a wasteful number, since it uses less digits than its factorization.

11204435000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 11204435000 its reverse (53440211), we get a palindrome (11257875211).

The spelling of 11204435000 in words is "eleven billion, two hundred four million, four hundred thirty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 125 200 202 220 250 275 404 440 500 505 550 625 808 1000 1010 1100 1111 1250 1375 2017 2020 2200 2222 2500 2525 2750 4034 4040 4444 5000 5050 5500 5555 6875 8068 8888 10085 10100 11000 11110 12625 13750 16136 20170 20200 22187 22220 25250 27500 27775 40340 44374 44440 50425 50500 55000 55550 63125 80680 88748 100850 101000 110935 111100 126250 138875 177496 201700 203717 221870 222200 252125 252500 277750 403400 407434 443740 504250 505000 554675 555500 694375 814868 887480 1008500 1018585 1109350 1111000 1260625 1388750 1629736 2017000 2037170 2218700 2240887 2521250 2773375 2777500 4074340 4437400 4481774 5042500 5092925 5546750 5555000 8148680 8963548 10085000 10185850 11093500 11204435 13866875 17927096 20371700 22187000 22408870 25464625 27733750 40743400 44817740 50929250 55467500 56022175 89635480 101858500 110935000 112044350 127323125 203717000 224088700 254646250 280110875 448177400 509292500 560221750 1018585000 1120443500 1400554375 2240887000 2801108750 5602217500 11204435000