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221211000200 = 23521106055001
BaseRepresentation
bin1100111000000100110…
…0111111110110001000
3210010222120112010201102
43032001030333312020
512111020004001300
6245342315240532
721660546322511
oct3160114776610
9703876463642
10221211000200
11858a692a633
1236a57149148
1317b24870178
14a9c715ba08
155b4a6a00d5
hex338133fd88

221211000200 has 24 divisors (see below), whose sum is σ = 514315575930. Its totient is φ = 88484400000.

The previous prime is 221211000191. The next prime is 221211000203. The reversal of 221211000200 is 2000112122.

It is a happy number.

221211000200 is digitally balanced in base 2 and base 3, because in such bases 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 82441339876 + 138769660324 = 287126^2 + 372518^2 .

It is not an unprimeable number, because it can be changed into a prime (221211000203) by changing a digit.

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, 553027301 + ... + 553027700.

Almost surely, 2221211000200 is an apocalyptic number.

221211000200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221211000200 is an abundant number, since it is smaller than the sum of its proper divisors (293104575730).

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

221211000200 is a wasteful number, since it uses less digits than its factorization.

221211000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106055017 (or 1106055008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 221211000200 its reverse (2000112122), we get a palindrome (223211112322).

The spelling of 221211000200 in words is "two hundred twenty-one billion, two hundred eleven million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1106055001 2212110002 4424220004 5530275005 8848440008 11060550010 22121100020 27651375025 44242200040 55302750050 110605500100 221211000200