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21220210111122 = 2321129742979849
BaseRepresentation
bin1001101001100101101110…
…00101011111001010010010
32210010122001221001122011100
410310302313011133022102
510240132442242023442
6113044232511325230
74320052405600461
oct464626705371222
983118057048140
1021220210111122
116841493441800
122468751520816
13bac098960979
145350c69229d8
1526bebde9284c
hex134cb715f292

21220210111122 has 36 divisors (see below), whose sum is σ = 50536836481950. Its totient is φ = 6430366699680.

The previous prime is 21220210110949. The next prime is 21220210111123. The reversal of 21220210111122 is 22111101202212.

21220210111122 is a `hidden beast` number, since 2 + 1 + 220 + 210 + 111 + 122 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20637749608641 + 582460502481 = 4542879^2 + 763191^2 .

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 = 21220210111095 and 21220210111104.

It is not an unprimeable number, because it can be changed into a prime (21220210111123) 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 17 ways as a sum of consecutive naturals, for example, 4871487747 + ... + 4871492102.

Almost surely, 221220210111122 is an apocalyptic number.

21220210111122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21220210111122 is an abundant number, since it is smaller than the sum of its proper divisors (29316626370828).

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

21220210111122 is a wasteful number, since it uses less digits than its factorization.

21220210111122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9742979879 (or 9742979865 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21220210111122 its reverse (22111101202212), we get a palindrome (43331311313334).

The spelling of 21220210111122 in words is "twenty-one trillion, two hundred twenty billion, two hundred ten million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 9742979849 19485959698 29228939547 58457879094 87686818641 107172778339 175373637282 214345556678 321518335017 643036670034 964555005051 1178900561729 1929110010102 2357801123458 3536701685187 7073403370374 10610105055561 21220210111122