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11221022100211 = 7112910934597519
BaseRepresentation
bin1010001101001001100100…
…0010010100101011110011
31110201201102022201200221221
42203102121002110223303
52432321123124201321
635510511050125511
72235456250062250
oct243223102245363
943651368650857
1011221022100211
113636899498150
121312861720897
136351a3ac5381
142ab1595a0427
15146d40493e41
hexa3499094af3

11221022100211 has 32 divisors (see below), whose sum is σ = 14485498214400. Its totient is φ = 8434422622080.

The previous prime is 11221022100121. The next prime is 11221022100283. The reversal of 11221022100211 is 11200122012211.

It is not a de Polignac number, because 11221022100211 - 27 = 11221022100083 is a prime.

It is a super-2 number, since 2×112210221002112 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11221022100311) 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, 141910 + ... + 4739428.

It is an arithmetic number, because the mean of its divisors is an integer number (452671819200).

Almost surely, 211221022100211 is an apocalyptic number.

11221022100211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11221022100211 is a deficient number, since it is larger than the sum of its proper divisors (3264476114189).

11221022100211 is a wasteful number, since it uses less digits than its factorization.

11221022100211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4598659.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11221022100211 its reverse (11200122012211), we get a palindrome (22421144112422).

The spelling of 11221022100211 in words is "eleven trillion, two hundred twenty-one billion, twenty-two million, one hundred thousand, two hundred eleven".

Divisors: 1 7 11 29 77 203 319 1093 2233 7651 12023 31697 84161 221879 348667 2440669 4597519 32182633 50572709 133328051 354008963 933296357 1466608561 5025088267 10266259927 35175617869 55275970937 145727559743 386931796559 1020092918201 1603003157173 11221022100211