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2113312300 = 2252117332621
BaseRepresentation
bin111110111110110…
…1001011000101100
312110021120101110221
41331331221120230
513312001443200
6545411341124
7103240600231
oct17575513054
95407511427
102113312300
11994a008a0
124ab8b17a4
13278a9c268
14160953788
15c57e691a
hex7df6962c

2113312300 has 72 divisors (see below), whose sum is σ = 5011522992. Its totient is φ = 767136000.

The previous prime is 2113312261. The next prime is 2113312309. The reversal of 2113312300 is 32133112.

It is not an unprimeable number, because it can be changed into a prime (2113312309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 804990 + ... + 807610.

It is an arithmetic number, because the mean of its divisors is an integer number (69604486).

Almost surely, 22113312300 is an apocalyptic number.

2113312300 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 2113312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505761496).

2113312300 is an abundant number, since it is smaller than the sum of its proper divisors (2898210692).

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

2113312300 is a wasteful number, since it uses less digits than its factorization.

2113312300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3379 (or 3372 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2113312300 is about 45970.7765868709. The cubic root of 2113312300 is about 1283.2794122882.

Adding to 2113312300 its reverse (32133112), we get a palindrome (2145445412).

It can be divided in two parts, 21133 and 12300, that added together give a palindrome (33433).

The spelling of 2113312300 in words is "two billion, one hundred thirteen million, three hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 733 1100 1466 2621 2932 3665 5242 7330 8063 10484 13105 14660 16126 18325 26210 28831 32252 36650 40315 52420 57662 65525 73300 80630 115324 131050 144155 161260 201575 262100 288310 403150 576620 720775 806300 1441550 1921193 2883100 3842386 7684772 9605965 19211930 21133123 38423860 42266246 48029825 84532492 96059650 105665615 192119300 211331230 422662460 528328075 1056656150 2113312300