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11011121121000 = 23353711213333337
BaseRepresentation
bin1010000000111011100111…
…1101101000011011101000
31102222122121222000011022210
42200032321331220123220
52420401234001333000
635230234511445120
72214345563146530
oct240167175503350
942878558004283
1011011121121000
1135658768a4800
12129a0422267a0
1361b462478920
142a0d265744c0
15141657bc1350
hexa03b9f686e8

11011121121000 has 768 divisors, whose sum is σ = 46476170657280. Its totient is φ = 2112016896000.

The previous prime is 11011121120983. The next prime is 11011121121017. The reversal of 11011121121000 is 12112111011.

11011121121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11011121120983) and next prime (11011121121017).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32866332 + ... + 33199668.

It is an arithmetic number, because the mean of its divisors is an integer number (60515847210).

Almost surely, 211011121121000 is an apocalyptic number.

11011121121000 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 11011121121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23238085328640).

11011121121000 is an abundant number, since it is smaller than the sum of its proper divisors (35465049536280).

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

11011121121000 is a wasteful number, since it uses less digits than its factorization.

11011121121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333403 (or 333378 counting only the distinct ones).

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

Adding to 11011121121000 its reverse (12112111011), we get a palindrome (11023233232011).

It can be divided in two parts, 11011121 and 121000, that added together give a triangular number (11132121 = T4718).

The spelling of 11011121121000 in words is "eleven trillion, eleven billion, one hundred twenty-one million, one hundred twenty-one thousand".