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11132222310000 = 243354114438461
BaseRepresentation
bin1010000111111110110000…
…1010000000011001110000
31110102020012201020222011000
42201333230022000121300
52424342242402410000
635402023342322000
72226163563236511
oct241775412003160
943366181228130
1011132222310000
113602170306480
1212b95ba889300
136299c183bbcc
142a6b33c48a08
15144894695000
hexa1fec280670

11132222310000 has 800 divisors, whose sum is σ = 43662636483840. Its totient is φ = 2692310400000.

The previous prime is 11132222309969. The next prime is 11132222310037. The reversal of 11132222310000 is 1322223111.

11132222310000 is a `hidden beast` number, since 1 + 1 + 132 + 222 + 310 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×111322223100002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 1315705770 + ... + 1315714230.

Almost surely, 211132222310000 is an apocalyptic number.

11132222310000 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 11132222310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21831318241920).

11132222310000 is an abundant number, since it is smaller than the sum of its proper divisors (32530414173840).

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

11132222310000 is a wasteful number, since it uses less digits than its factorization.

11132222310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8952 (or 8925 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11132222310000 its reverse (1322223111), we get a palindrome (11133544533111).

The spelling of 11132222310000 in words is "eleven trillion, one hundred thirty-two billion, two hundred twenty-two million, three hundred ten thousand".