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110211221132001 = 3311233734686603
BaseRepresentation
bin11001000011110010001100…
…101011111001001011100001
3112110020002102111101000221000
4121003302030223321023201
5103421200040102211001
61030222200325422213
732133332541516243
oct3103621453711341
9473202374330830
10110211221132001
1132131353145a00
121043b80ab6a969
134965b482909c2
141d30374416093
15cb1ca7d56a86
hex643c8caf92e1

110211221132001 has 24 divisors (see below), whose sum is σ = 179468532733280. Its totient is φ = 66794679471960.

The previous prime is 110211221131961. The next prime is 110211221132087. The reversal of 110211221132001 is 100231122112011.

It is a happy number.

110211221132001 is a `hidden beast` number, since 110 + 2 + 11 + 221 + 1 + 320 + 0 + 1 = 666.

It is not a de Polignac number, because 110211221132001 - 29 = 110211221131489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110211221112001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16867340035 + ... + 16867346568.

Almost surely, 2110211221132001 is an apocalyptic number.

110211221132001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110211221132001 is a deficient number, since it is larger than the sum of its proper divisors (69257311601279).

110211221132001 is a wasteful number, since it uses less digits than its factorization.

110211221132001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33734686634 (or 33734686617 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 110211221132001 its reverse (100231122112011), we get a palindrome (210442343244012).

The spelling of 110211221132001 in words is "one hundred ten trillion, two hundred eleven billion, two hundred twenty-one million, one hundred thirty-two thousand, one".

Divisors: 1 3 9 11 27 33 99 121 297 363 1089 3267 33734686603 101204059809 303612179427 371081552633 910836538281 1113244657899 3339733973697 4081897078963 10019201921091 12245691236889 36737073710667 110211221132001