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11201211110221 = 1141474339121787
BaseRepresentation
bin1010001011111111110000…
…1101011001001101001101
31110122211021122212010200221
42202333330031121031031
52432010040021011341
635453433151551341
72234155311331036
oct242777415311515
943584248763627
1011201211110221
113629452725150
12130aa52b2b551
136333676276a2
142aa1da439a8d
15146581110ed1
hexa2ffc35934d

11201211110221 has 32 divisors (see below), whose sum is σ = 12786921584640. Its totient is φ = 9720861091200.

The previous prime is 11201211110191. The next prime is 11201211110231. The reversal of 11201211110221 is 12201111210211.

It is a cyclic number.

It is not a de Polignac number, because 11201211110221 - 239 = 10651455296333 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11201211110195 and 11201211110204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201211110231) 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, 91912890 + ... + 92034676.

It is an arithmetic number, because the mean of its divisors is an integer number (399591299520).

Almost surely, 211201211110221 is an apocalyptic number.

11201211110221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11201211110221 is a deficient number, since it is larger than the sum of its proper divisors (1585710474419).

11201211110221 is a wasteful number, since it uses less digits than its factorization.

11201211110221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126225.

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

Adding to 11201211110221 its reverse (12201111210211), we get a palindrome (23402322320432).

The spelling of 11201211110221 in words is "eleven trillion, two hundred one billion, two hundred eleven million, one hundred ten thousand, two hundred twenty-one".

Divisors: 1 11 41 47 451 517 1927 4339 21197 47729 121787 177899 203933 1339657 1956889 2243263 4993267 5723989 8361253 54925937 62963879 91973783 234683549 528433793 2581519039 5812771723 21665785513 24836388271 238323640643 273200270981 1018291919111 11201211110221