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2111200200 = 233452194
BaseRepresentation
bin111110111010110…
…0101101111001000
312110010121002020000
41331311211233020
513310431401300
6545254203000
7103213622424
oct17565455710
95403532200
102111200200
11993798a5a
124ab053460
1327850cab5
14160563b84
15c552ac00
hex7dd65bc8

2111200200 has 300 divisors, whose sum is σ = 7739869665. Its totient is φ = 533355840.

The previous prime is 2111200159. The next prime is 2111200211. The reversal of 2111200200 is 20021112.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2068976196 + 42224004 = 45486^2 + 6498^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=32490.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 74 ways as a sum of consecutive naturals, for example, 111115791 + ... + 111115809.

Almost surely, 22111200200 is an apocalyptic number.

2111200200 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 2111200200

2111200200 is an abundant number, since it is smaller than the sum of its proper divisors (5628669465).

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

2111200200 is an frugal number, since it uses more digits than its factorization.

2111200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2111200200 is about 45947.7986415019. The cubic root of 2111200200 is about 1282.8517553660.

Adding to 2111200200 its reverse (20021112), we get a palindrome (2131221312).

The spelling of 2111200200 in words is "two billion, one hundred eleven million, two hundred thousand, two hundred".