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110012122210020 = 223573107613138287
BaseRepresentation
bin11001000000111000110001…
…011101110001111011100100
3112102112001111221121212002120
4121000320301131301323210
5103404414311241210040
61025550512104505540
732113053641560662
oct3100706135617344
9472461457555076
10110012122210020
1132064973a82a88
121040910517b2b0
134950138854ab4
141d24887c91c32
15caba03a737d0
hex640e31771ee4

110012122210020 has 192 divisors, whose sum is σ = 315231482474496. Its totient is φ = 28658853596160.

The previous prime is 110012122210013. The next prime is 110012122210061. The reversal of 110012122210020 is 20012221210011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2873335317 + ... + 2873373603.

It is an arithmetic number, because the mean of its divisors is an integer number (1641830637888).

Almost surely, 2110012122210020 is an apocalyptic number.

110012122210020 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 110012122210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157615741237248).

110012122210020 is an abundant number, since it is smaller than the sum of its proper divisors (205219360264476).

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

110012122210020 is a wasteful number, since it uses less digits than its factorization.

110012122210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44610 (or 44608 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 110012122210020 its reverse (20012221210011), we get a palindrome (130024343420031).

The spelling of 110012122210020 in words is "one hundred ten trillion, twelve billion, one hundred twenty-two million, two hundred ten thousand, twenty".