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11000221111 = 112414619001
BaseRepresentation
bin10100011111010101…
…00000110110110111
31001101121212010112201
422033222200312313
5140012024033421
65015312525331
7536411223325
oct121752406667
931347763481
1011000221111
114735379a30
12216bb50847
131063ca4199
14764d2ad15
15445ad4b91
hex28faa0db7

11000221111 has 16 divisors (see below), whose sum is σ = 12077515296. Its totient is φ = 9936000000.

The previous prime is 11000221051. The next prime is 11000221117. The reversal of 11000221111 is 11112200011.

It is a cyclic number.

It is not a de Polignac number, because 11000221111 - 27 = 11000220983 is a prime.

It is a super-4 number, since 4×110002211114 (a number of 41 digits) contains 4444 as substring.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000221117) 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 15 ways as a sum of consecutive naturals, for example, 1217611 + ... + 1226611.

It is an arithmetic number, because the mean of its divisors is an integer number (754844706).

Almost surely, 211000221111 is an apocalyptic number.

11000221111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11000221111 is a deficient number, since it is larger than the sum of its proper divisors (1077294185).

11000221111 is a wasteful number, since it uses less digits than its factorization.

11000221111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9714.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11000221111 its reverse (11112200011), we get a palindrome (22112421122).

The spelling of 11000221111 in words is "eleven billion, two hundred twenty-one thousand, one hundred eleven".

Divisors: 1 11 241 461 2651 5071 9001 99011 111101 1222111 2169241 4149461 23861651 45644071 1000020101 11000221111