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11222200011 = 3113747283691
BaseRepresentation
bin10100111001110010…
…10010111011001011
31001222002112211100110
422130321102323023
5140440340400021
65053322405403
7545045061201
oct123471227313
931862484313
1011222200011
114839703a70
122212360863
13109ac85549
147865d1071
1545a331476
hex29ce52ecb

11222200011 has 64 divisors (see below), whose sum is σ = 17206419456. Its totient is φ = 6444489600.

The previous prime is 11222199979. The next prime is 11222200027. The reversal of 11222200011 is 11000222211.

It is not a de Polignac number, because 11222200011 - 25 = 11222199979 is a prime.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 11222200011.

It is not an unprimeable number, because it can be changed into a prime (11222200081) 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 63 ways as a sum of consecutive naturals, for example, 16240176 + ... + 16240866.

It is an arithmetic number, because the mean of its divisors is an integer number (268850304).

Almost surely, 211222200011 is an apocalyptic number.

11222200011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11222200011 is a deficient number, since it is larger than the sum of its proper divisors (5984219445).

11222200011 is a wasteful number, since it uses less digits than its factorization.

11222200011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11222200011 its reverse (11000222211), we get a palindrome (22222422222).

The spelling of 11222200011 in words is "eleven billion, two hundred twenty-two million, two hundred thousand, eleven".

Divisors: 1 3 11 33 37 47 111 141 283 407 517 691 849 1221 1551 1739 2073 3113 5217 7601 9339 10471 13301 19129 22803 25567 31413 32477 39903 57387 76701 97431 115181 146311 195553 281237 345543 357247 438933 492137 586659 843711 1071741 1201649 1476411 2151083 3604947 5413507 6453249 7235461 9190991 13218139 16240521 21706383 27572973 39654417 79590071 101100901 238770213 303302703 340066667 1020200001 3740733337 11222200011