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2220113100 = 2235241180497
BaseRepresentation
bin1000010001010100…
…0011110011001100
312201201112102122010
42010111003303030
514021322104400
61004144421220
7106005435642
oct20425036314
95651472563
102220113100
11a3a217917
1251b617810
13294c543ba
14170bd5192
15ced91450
hex84543ccc

2220113100 has 72 divisors (see below), whose sum is σ = 6580235088. Its totient is φ = 577587200.

The previous prime is 2220113089. The next prime is 2220113149. The reversal of 2220113100 is 13110222.

It is a super-2 number, since 2×22201131002 = 9857804353583220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77949 + ... + 102548.

It is an arithmetic number, because the mean of its divisors is an integer number (91392154).

Almost surely, 22220113100 is an apocalyptic number.

2220113100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220113100 is an abundant number, since it is smaller than the sum of its proper divisors (4360121988).

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

2220113100 is a wasteful number, since it uses less digits than its factorization.

2220113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180555 (or 180548 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2220113100 is about 47118.0761491808. The cubic root of 2220113100 is about 1304.5429029921.

Adding to 2220113100 its reverse (13110222), we get a palindrome (2233223322).

The spelling of 2220113100 in words is "two billion, two hundred twenty million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 615 820 1025 1230 2050 2460 3075 4100 6150 12300 180497 360994 541491 721988 902485 1082982 1804970 2165964 2707455 3609940 4512425 5414910 7400377 9024850 10829820 13537275 14800754 18049700 22201131 27074550 29601508 37001885 44402262 54149100 74003770 88804524 111005655 148007540 185009425 222011310 370018850 444022620 555028275 740037700 1110056550 2220113100