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20110133322000 = 2432532574347197
BaseRepresentation
bin1001001001010010000010…
…10110100110000100010000
32122012111202202201221102200
410210221001112212010100
510113441023112301000
6110434245005243200
74143623564560131
oct444510126460420
978174682657380
1020110133322000
116453728a98a17
12230958ab63500
13b2b4ba2c04a7
144d749b027c88
1524d19da16500
hex124a415a6110

20110133322000 has 240 divisors, whose sum is σ = 70511308116912. Its totient is φ = 5341834444800.

The previous prime is 20110133321987. The next prime is 20110133322023. The reversal of 20110133322000 is 22333101102.

20110133322000 is a `hidden beast` number, since 2 + 0 + 110 + 1 + 333 + 220 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1384331083776 + 18725802238224 = 1176576^2 + 4327332^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×201101333220002 (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2452402 + ... + 6799598.

Almost surely, 220110133322000 is an apocalyptic number.

20110133322000 is a gapful number since it is divisible by the number (20) 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 20110133322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35255654058456).

20110133322000 is an abundant number, since it is smaller than the sum of its proper divisors (50401174794912).

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

20110133322000 is a wasteful number, since it uses less digits than its factorization.

20110133322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4347483 (or 4347464 counting only the distinct ones).

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

Adding to 20110133322000 its reverse (22333101102), we get a palindrome (20132466423102).

The spelling of 20110133322000 in words is "twenty trillion, one hundred ten billion, one hundred thirty-three million, three hundred twenty-two thousand".