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110220122120022 = 23343101469977751
BaseRepresentation
bin11001000011111010011111…
…001110011101111101010110
3112110020221101211011002001000
4121003322133032131331112
5103421321302230320042
61030230231452444130
732134066242621525
oct3103723716357526
9473227354132030
10110220122120022
113213510055aa52
1210441493a79646
134966936385115
141d3097a6164bc
15cb21294c674c
hex643e9f39df56

110220122120022 has 64 divisors (see below), whose sum is σ = 253111218117120. Its totient is φ = 35530317900000.

The previous prime is 110220122119957. The next prime is 110220122120047. The reversal of 110220122120022 is 220021221022011.

It is a happy number.

110220122120022 is a `hidden beast` number, since 1 + 1 + 0 + 220 + 1 + 221 + 200 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 110220122119977 and 110220122120004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234754354 + ... + 235223397.

It is an arithmetic number, because the mean of its divisors is an integer number (3954862783080).

Almost surely, 2110220122120022 is an apocalyptic number.

110220122120022 is an abundant number, since it is smaller than the sum of its proper divisors (142891095997098).

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

110220122120022 is a wasteful number, since it uses less digits than its factorization.

110220122120022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469977906 (or 469977900 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 110220122120022 its reverse (220021221022011), we get a palindrome (330241343142033).

The spelling of 110220122120022 in words is "one hundred ten trillion, two hundred twenty billion, one hundred twenty-two million, one hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 43 54 86 101 129 202 258 303 387 606 774 909 1161 1818 2322 2727 4343 5454 8686 13029 26058 39087 78174 117261 234522 469977751 939955502 1409933253 2819866506 4229799759 8459599518 12689399277 20209043293 25378798554 40418086586 47467752851 60627129879 94935505702 121254259758 142403258553 181881389637 284806517106 363762779274 427209775659 545644168911 854419551318 1091288337822 1281629326977 2041113372593 2563258653954 4082226745186 6123340117779 12246680235558 18370020353337 36740040706674 55110061060011 110220122120022