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211066828900 = 225217299122011
BaseRepresentation
bin1100010010010010010…
…0000011100001100100
3202011210121110211202021
43010210210003201210
511424231102011100
6240543542352524
721151301305204
oct3044444034144
9664717424667
10211066828900
11815707a4594
1234aa5a2b744
1316b99044b45
14a303bca404
155754d14a1a
hex3124903864

211066828900 has 36 divisors (see below), whose sum is σ = 458045249200. Its totient is φ = 84421159200.

The previous prime is 211066828849. The next prime is 211066828901. The reversal of 211066828900 is 9828660112.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (211066828901) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1668895 + ... + 1790905.

Almost surely, 2211066828900 is an apocalyptic number.

211066828900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211066828900 is an abundant number, since it is smaller than the sum of its proper divisors (246978420300).

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

211066828900 is a wasteful number, since it uses less digits than its factorization.

211066828900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139324 (or 139317 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The spelling of 211066828900 in words is "two hundred eleven billion, sixty-six million, eight hundred twenty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 17299 34598 69196 86495 122011 172990 244022 345980 432475 488044 610055 864950 1220110 1729900 2440220 3050275 6100550 12201100 2110668289 4221336578 8442673156 10553341445 21106682890 42213365780 52766707225 105533414450 211066828900