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21200122112211 = 3273760115132881
BaseRepresentation
bin1001101001000000010011…
…01111110110100011010011
32210001201012221221120002200
410310200021233312203103
510234320322230042321
6113031111320014243
74315441534454130
oct464401157664323
983051187846080
1021200122112211
116833a15278909
122464886001383
13baa216c84b93
1453413ca91587
1526b6e5642d26
hex134809bf68d3

21200122112211 has 48 divisors (see below), whose sum is σ = 36002700097728. Its totient is φ = 11767327488000.

The previous prime is 21200122112207. The next prime is 21200122112237. The reversal of 21200122112211 is 11221122100212.

21200122112211 is a `hidden beast` number, since 21 + 200 + 1 + 221 + 1 + 221 + 1 = 666.

It is not a de Polignac number, because 21200122112211 - 22 = 21200122112207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21200122112311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6165510 + ... + 8967371.

It is an arithmetic number, because the mean of its divisors is an integer number (750056252036).

Almost surely, 221200122112211 is an apocalyptic number.

21200122112211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21200122112211 is a deficient number, since it is larger than the sum of its proper divisors (14802577985517).

21200122112211 is a wasteful number, since it uses less digits than its factorization.

21200122112211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15133532 (or 15133529 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21200122112211 its reverse (11221122100212), we get a palindrome (32421244212423).

The spelling of 21200122112211 in words is "twenty-one trillion, two hundred billion, one hundred twenty-two million, one hundred twelve thousand, two hundred eleven".

Divisors: 1 3 7 9 21 37 63 111 259 333 601 777 1803 2331 4207 5409 12621 22237 37863 66711 155659 200133 466977 1400931 15132881 45398643 105930167 136195929 317790501 559916597 953371503 1679749791 3919416179 5039249373 9094861481 11758248537 27284584443 35274745611 63664030367 81853753329 190992091101 336509874797 572976273303 1009529624391 2355569123579 3028588873173 7066707370737 21200122112211