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11245520000000 = 210571113983
BaseRepresentation
bin1010001110100100110100…
…1110011001010000000000
31110211001122121211221202202
42203221031032121100000
52433221311110000000
635530042013132332
72240314316561516
oct243511516312000
943731577757682
1011245520000000
11364621a962920
121317559a8a0a8
136375a92bc870
142ac400da64b6
151477c6035dd5
hexa3a4d399400

11245520000000 has 704 divisors, whose sum is σ = 33046171651584. Its totient is φ = 3770880000000.

The previous prime is 11245519999997. The next prime is 11245520000003. The reversal of 11245520000000 is 2554211.

It is an interprime number because it is at equal distance from previous prime (11245519999997) and next prime (11245520000003).

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11245520000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11439999509 + ... + 11440000491.

Almost surely, 211245520000000 is an apocalyptic number.

11245520000000 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 11245520000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16523085825792).

11245520000000 is an abundant number, since it is smaller than the sum of its proper divisors (21800651651584).

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

11245520000000 is an frugal number, since it uses more digits than its factorization.

11245520000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 11245520000000 its reverse (2554211), we get a palindrome (11245522554211).

The spelling of 11245520000000 in words is "eleven trillion, two hundred forty-five billion, five hundred twenty million", and thus it is an aban number.