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110101122021 = 31123331430089
BaseRepresentation
bin110011010001010001…
…0011100101111100101
3101112012010200111201010
41212202202130233211
53300441341401041
6122325121052433
710645260044562
oct1464242345745
9345163614633
10110101122021
114276a238630
1219408787119
13a4c8444317
1454867c7869
152ce5e1ea16
hex19a289cbe5

110101122021 has 16 divisors (see below), whose sum is σ = 160215842880. Its totient is φ = 66699304320.

The previous prime is 110101121971. The next prime is 110101122029. The reversal of 110101122021 is 120221101011.

It is not a de Polignac number, because 110101122021 - 26 = 110101121957 is a prime.

It is a super-2 number, since 2×1101011220212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110101121988 and 110101122006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110101122029) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 638056 + ... + 792033.

It is an arithmetic number, because the mean of its divisors is an integer number (10013490180).

Almost surely, 2110101122021 is an apocalyptic number.

110101122021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110101122021 is a deficient number, since it is larger than the sum of its proper divisors (50114720859).

110101122021 is a wasteful number, since it uses less digits than its factorization.

110101122021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432436.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110101122021 its reverse (120221101011), we get a palindrome (230322223032).

The spelling of 110101122021 in words is "one hundred ten billion, one hundred one million, one hundred twenty-two thousand, twenty-one".

Divisors: 1 3 11 33 2333 6999 25663 76989 1430089 4290267 15730979 47192937 3336397637 10009192911 36700374007 110101122021