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11112112011 = 37111310136637
BaseRepresentation
bin10100101100101010…
…10101111110001011
31001200102101210000010
422112111111332023
5140224200041021
65034351043003
7542240252010
oct122625257613
931612353003
1011112112011
114792552250
1221a1510463
13108121c110
14775b35707
15450837976
hex296555f8b

11112112011 has 64 divisors (see below), whose sum is σ = 20090520576. Its totient is φ = 5275584000.

The previous prime is 11112112009. The next prime is 11112112069. The reversal of 11112112011 is 11021121111.

It is not a de Polignac number, because 11112112011 - 21 = 11112112009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11112112001) 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, 284985 + ... + 321621.

It is an arithmetic number, because the mean of its divisors is an integer number (313914384).

Almost surely, 211112112011 is an apocalyptic number.

11112112011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11112112011 is a deficient number, since it is larger than the sum of its proper divisors (8978408565).

11112112011 is a wasteful number, since it uses less digits than its factorization.

11112112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36772.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11112112011 its reverse (11021121111), we get a palindrome (22133233122).

The spelling of 11112112011 in words is "eleven billion, one hundred twelve million, one hundred twelve thousand, eleven".

Divisors: 1 3 7 11 13 21 33 39 77 91 101 143 231 273 303 429 707 1001 1111 1313 2121 3003 3333 3939 7777 9191 14443 23331 27573 36637 43329 101101 109911 256459 303303 403007 476281 769377 1209021 1428843 2821049 3333967 3700337 5239091 8463147 10001901 11101011 15717273 25902359 36673637 40703707 48104381 77707077 110020911 122111121 144313143 284925949 336730667 529148191 854777847 1010192001 1587444573 3704037337 11112112011