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11011743132 = 223131719832633
BaseRepresentation
bin10100100000101100…
…11101110110011100
31001102102112111210020
422100112131312130
5140023001240012
65020403512140
7536611162245
oct122026356634
931372474706
1011011743132
114740929665
122173988650
1310664a9750
14766689ccc
15446b0da8c
hex29059dd9c

11011743132 has 192 divisors, whose sum is σ = 31223646720. Its totient is φ = 2983550976.

The previous prime is 11011743103. The next prime is 11011743137. The reversal of 11011743132 is 23134711011.

11011743132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011743137) 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, 4180888 + ... + 4183520.

It is an arithmetic number, because the mean of its divisors is an integer number (162623160).

Almost surely, 211011743132 is an apocalyptic number.

11011743132 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 11011743132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15611823360).

11011743132 is an abundant number, since it is smaller than the sum of its proper divisors (20211903588).

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

11011743132 is a wasteful number, since it uses less digits than its factorization.

11011743132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The spelling of 11011743132 in words is "eleven billion, eleven million, seven hundred forty-three thousand, one hundred thirty-two".