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213110400200 = 23521065552001
BaseRepresentation
bin1100011001111001011…
…1101010010011001000
3202101002000211000120012
43012132113222103020
511442422230301300
6241522423251052
721253034341055
oct3063627522310
9671060730505
10213110400200
118241a2a0995
12353762a9a88
1317133536429
14a45938802c
155824432435
hex319e5ea4c8

213110400200 has 24 divisors (see below), whose sum is σ = 495481680930. Its totient is φ = 85244160000.

The previous prime is 213110400163. The next prime is 213110400211. The reversal of 213110400200 is 2004011312.

213110400200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 86634858244 + 126475541956 = 294338^2 + 355634^2 .

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 5 ways as a sum of consecutive naturals, for example, 532775801 + ... + 532776200.

Almost surely, 2213110400200 is an apocalyptic number.

213110400200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213110400200 is an abundant number, since it is smaller than the sum of its proper divisors (282371280730).

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

213110400200 is a wasteful number, since it uses less digits than its factorization.

213110400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065552017 (or 1065552008 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 213110400200 its reverse (2004011312), we get a palindrome (215114411512).

The spelling of 213110400200 in words is "two hundred thirteen billion, one hundred ten million, four hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1065552001 2131104002 4262208004 5327760005 8524416008 10655520010 21311040020 26638800025 42622080040 53277600050 106555200100 213110400200