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11010010000000 = 275711101991
BaseRepresentation
bin1010000000110111011110…
…1111000010101010000000
31102222112202112020100212011
42200031313233002222000
52420342000030000000
635225532340342304
72214306211604644
oct240156757025200
942875675210764
1011010010000000
113565356684090
1212999920a4994
1361b31620308b
142a0c5cb7cc24
151415e03902ba
hexa0377bc2a80

11010010000000 has 512 divisors, whose sum is σ = 30236547594240. Its totient is φ = 3960000000000.

The previous prime is 11010009999991. The next prime is 11010010000001. The reversal of 11010010000000 is 1001011.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is not an unprimeable number, because it can be changed into a prime (11010010000001) 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, 11109999505 + ... + 11110000495.

It is an arithmetic number, because the mean of its divisors is an integer number (59055757020).

Almost surely, 211010010000000 is an apocalyptic number.

11010010000000 is a gapful number since it is divisible by the number (10) 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 11010010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15118273797120).

11010010000000 is an abundant number, since it is smaller than the sum of its proper divisors (19226537594240).

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

11010010000000 is an frugal number, since it uses more digits than its factorization.

11010010000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 11010010000000 its reverse (1001011), we get a palindrome (11010011001011).

The spelling of 11010010000000 in words is "eleven trillion, ten billion, ten million", and thus it is an aban number and an uban number.