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11133322200000 = 2632557111337167
BaseRepresentation
bin1010001000000010110110…
…1101110000001111000000
31110102100001100220011120200
42202000231231300033000
52424402020440400000
635402324433005200
72226233050164060
oct242005555601700
943370040804520
1011133322200000
113602685156080
1212b98670b3800
13629b386817b0
142a6bd9d593a0
1514490b008500
hexa202db703c0

11133322200000 has 4032 divisors, whose sum is σ = 55331374565376. Its totient is φ = 2065305600000.

The previous prime is 11133322199983. The next prime is 11133322200043. The reversal of 11133322200000 is 222333111.

11133322200000 is a `hidden beast` number, since 1 + 113 + 332 + 220 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

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 575 ways as a sum of consecutive naturals, for example, 66666599917 + ... + 66666600083.

It is an arithmetic number, because the mean of its divisors is an integer number (13723059168).

Almost surely, 211133322200000 is an apocalyptic number.

11133322200000 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 11133322200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27665687282688).

11133322200000 is an abundant number, since it is smaller than the sum of its proper divisors (44198052365376).

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

11133322200000 is a wasteful number, since it uses less digits than its factorization.

11133322200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11133322200000 its reverse (222333111), we get a palindrome (11133544533111).

The spelling of 11133322200000 in words is "eleven trillion, one hundred thirty-three billion, three hundred twenty-two million, two hundred thousand".