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2118320306200 = 2352729831135563
BaseRepresentation
bin11110110100110101101…
…110101011100000011000
321111111202101101011202001
4132310311232223200120
5234201304444244300
64301050511450344
7306020644341010
oct36646556534030
97444671334661
102118320306200
1174741365210a
122a26652269b4
131249ab761a87
1474754ab8c40
153a18079116a
hex1ed35bab818

2118320306200 has 384 divisors, whose sum is σ = 5946144422400. Its totient is φ = 686534123520.

The previous prime is 2118320306183. The next prime is 2118320306203. The reversal of 2118320306200 is 26030238112.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2118320306203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 380784619 + ... + 380790181.

It is an arithmetic number, because the mean of its divisors is an integer number (15484751100).

Almost surely, 22118320306200 is an apocalyptic number.

2118320306200 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 2118320306200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2973072211200).

2118320306200 is an abundant number, since it is smaller than the sum of its proper divisors (3827824116200).

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

2118320306200 is a wasteful number, since it uses less digits than its factorization.

2118320306200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5811 (or 5802 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 2118320306200 in words is "two trillion, one hundred eighteen billion, three hundred twenty million, three hundred six thousand, two hundred".