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21200121200201 = 1759101290372089
BaseRepresentation
bin1001101001000000010011…
…01100010111111001001001
32210001201012220020020001112
410310200021230113321021
510234320322011401301
6113031111244300105
74315441523635166
oct464401154277111
983051186206045
1021200121200201
116833a14805689
122464885841635
13baa216a25a28
1453413c8d506d
1526b6e55129bb
hex134809b17e49

21200121200201 has 32 divisors (see below), whose sum is σ = 23061925497600. Its totient is φ = 19413702092800.

The previous prime is 21200121200173. The next prime is 21200121200249. The reversal of 21200121200201 is 10200212100212.

It is a cyclic number.

It is not a de Polignac number, because 21200121200201 - 210 = 21200121199177 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21200121200261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294046565 + ... + 294118653.

It is an arithmetic number, because the mean of its divisors is an integer number (720685171800).

Almost surely, 221200121200201 is an apocalyptic number.

It is an amenable number.

21200121200201 is a deficient number, since it is larger than the sum of its proper divisors (1861804297399).

21200121200201 is a wasteful number, since it uses less digits than its factorization.

21200121200201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75169.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21200121200201 its reverse (10200212100212), we get a palindrome (31400333300413).

The spelling of 21200121200201 in words is "twenty-one trillion, two hundred billion, one hundred twenty-one million, two hundred thousand, two hundred one".

Divisors: 1 17 59 101 1003 1717 2903 5959 49351 72089 101303 171277 293203 1225513 2911709 4253251 4984451 7280989 17298977 72305267 123776813 209274367 294082609 429578351 3557664239 7302831967 12347187653 21136711067 209902190101 359324088139 1247065952953 21200121200201