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11111112012 = 223721121341293
BaseRepresentation
bin10100101100100011…
…00001110101001100
31001200100111222021010
422112101201311030
5140223421041022
65034313405220
7542225615400
oct122621416514
931610458233
1011111112012
114791a29a00
1221a1109810
131080c5bbc0
14775955100
154506db50c
hex296461d4c

11111112012 has 432 divisors, whose sum is σ = 36695193696. Its totient is φ = 2590156800.

The previous prime is 11111112007. The next prime is 11111112037. The reversal of 11111112012 is 21021111111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37921738 + ... + 37922030.

It is an arithmetic number, because the mean of its divisors is an integer number (84942578).

Almost surely, 211111112012 is an apocalyptic number.

11111112012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11111112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18347596848).

11111112012 is an abundant number, since it is smaller than the sum of its proper divisors (25584081684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11111112012 is a wasteful number, since it uses less digits than its factorization.

11111112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 370 counting only the distinct ones).

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

Adding to 11111112012 its reverse (21021111111), we get a palindrome (32132223123).

Subtracting 11111112012 from its reverse (21021111111), we obtain a palindrome (9909999099).

The spelling of 11111112012 in words is "eleven billion, one hundred eleven million, one hundred twelve thousand, twelve".