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2000111300 = 22521111316091
BaseRepresentation
bin111011100110111…
…0100011011000100
312011101120011220022
41313031310123010
513044012030200
6530245154312
7100364444165
oct16715643304
95141504808
102000111300
11937013250
124799bb998
1325b4b5c15
1414d8c776c
15ba8d5885
hex773746c4

2000111300 has 72 divisors (see below), whose sum is σ = 4777006752. Its totient is φ = 720832000.

The previous prime is 2000111293. The next prime is 2000111339. The reversal of 2000111300 is 31110002.

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 23 ways as a sum of consecutive naturals, for example, 116255 + ... + 132345.

It is an arithmetic number, because the mean of its divisors is an integer number (66347316).

Almost surely, 22000111300 is an apocalyptic number.

2000111300 is a gapful number since it is divisible by the number (20) 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 2000111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388503376).

2000111300 is an abundant number, since it is smaller than the sum of its proper divisors (2776895452).

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

2000111300 is a wasteful number, since it uses less digits than its factorization.

2000111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16229 (or 16222 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 2000111300 is about 44722.6039045134. The cubic root of 2000111300 is about 1259.9444209968.

Adding to 2000111300 its reverse (31110002), we get a palindrome (2031221302).

The spelling of 2000111300 in words is "two billion, one hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 113 220 226 275 452 550 565 1100 1130 1243 2260 2486 2825 4972 5650 6215 11300 12430 16091 24860 31075 32182 62150 64364 80455 124300 160910 177001 321820 354002 402275 708004 804550 885005 1609100 1770010 1818283 3540020 3636566 4425025 7273132 8850050 9091415 17700100 18182830 20001113 36365660 40002226 45457075 80004452 90914150 100005565 181828300 200011130 400022260 500027825 1000055650 2000111300