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11120302000 = 245310155051
BaseRepresentation
bin10100101101101001…
…00101011110110000
31001200222210212120001
422112310211132300
5140233244131000
65035242355344
7542400002353
oct122664453660
931628725501
1011120302000
114797136535
1221a41bbb54
131082b28b72
14776c6829a
1545140446a
hex296d257b0

11120302000 has 80 divisors (see below), whose sum is σ = 27155610144. Its totient is φ = 4404000000.

The previous prime is 11120301979. The next prime is 11120302003. The reversal of 11120302000 is 20302111.

11120302000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×111203020002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11120302003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 174475 + ... + 229525.

Almost surely, 211120302000 is an apocalyptic number.

11120302000 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 11120302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13577805072).

11120302000 is an abundant number, since it is smaller than the sum of its proper divisors (16035308144).

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

11120302000 is a wasteful number, since it uses less digits than its factorization.

11120302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55175 (or 55159 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 11120302000 its reverse (20302111), we get a palindrome (11140604111).

The spelling of 11120302000 in words is "eleven billion, one hundred twenty million, three hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 200 202 250 400 404 500 505 808 1000 1010 1616 2000 2020 2525 4040 5050 8080 10100 12625 20200 25250 40400 50500 55051 101000 110102 202000 220204 275255 440408 550510 880816 1101020 1376275 2202040 2752550 4404080 5505100 5560151 6881375 11010200 11120302 13762750 22020400 22240604 27525500 27800755 44481208 55051000 55601510 88962416 110102000 111203020 139003775 222406040 278007550 444812080 556015100 695018875 1112030200 1390037750 2224060400 2780075500 5560151000 11120302000