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11110010000 = 24541765353
BaseRepresentation
bin10100101100011010…
…10100110010010000
31001200021102222120212
422112031110302100
5140223130310000
65034234023252
7542213345465
oct122615246220
931607388525
1011110010000
114791346a51
1221a0877b28
13108096441b
1477574966c
1545056ec35
hex296354c90

11110010000 has 100 divisors (see below), whose sum is σ = 28481142492. Its totient is φ = 4182528000.

The previous prime is 11110009969. The next prime is 11110010029. The reversal of 11110010000 is 1001111.

It can be written as a sum of positive squares in 10 ways, for example, as 4586540176 + 6523469824 = 67724^2 + 80768^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 137324 + ... + 202676.

Almost surely, 211110010000 is an apocalyptic number.

11110010000 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 11110010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14240571246).

11110010000 is an abundant number, since it is smaller than the sum of its proper divisors (17371132492).

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

11110010000 is an equidigital number, since it uses as much as digits as its factorization.

11110010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65398 (or 65377 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 11110010000 its reverse (1001111), we get a palindrome (11111011111).

It can be divided in two parts, 11 and 110010000, that added together give a palindrome (110010011).

The spelling of 11110010000 in words is "eleven billion, one hundred ten million, ten thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 625 680 850 1000 1250 1360 1700 2000 2125 2500 3400 4250 5000 6800 8500 10000 10625 17000 21250 34000 42500 65353 85000 130706 170000 261412 326765 522824 653530 1045648 1111001 1307060 1633825 2222002 2614120 3267650 4444004 5228240 5555005 6535300 8169125 8888008 11110010 13070600 16338250 17776016 22220020 26141200 27775025 32676500 40845625 44440040 55550050 65353000 81691250 88880080 111100100 130706000 138875125 163382500 222200200 277750250 326765000 444400400 555500500 653530000 694375625 1111001000 1388751250 2222002000 2777502500 5555005000 11110010000