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20110022121 = 3731201115361
BaseRepresentation
bin10010101110101001…
…101001010111101001
31220220111112222020010
4102232221221113221
5312141131201441
613123255322133
71311226240050
oct225651512751
956814488203
1020110022121
11858a6462a2
123a92980349
131b8641a097
14d8ab65397
157ca750116
hex4aea695e9

20110022121 has 32 divisors (see below), whose sum is σ = 31650144256. Its totient is φ = 11114496000.

The previous prime is 20110022113. The next prime is 20110022159. The reversal of 20110022121 is 12122001102.

It is not a de Polignac number, because 20110022121 - 23 = 20110022113 is a prime.

It is a super-3 number, since 3×201100221213 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

20110022121 is a modest number, since divided by 22121 gives 20110 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 20110022097 and 20110022106.

It is not an unprimeable number, because it can be changed into a prime (20110022021) 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 31 ways as a sum of consecutive naturals, for example, 1301481 + ... + 1316841.

It is an arithmetic number, because the mean of its divisors is an integer number (989067008).

Almost surely, 220110022121 is an apocalyptic number.

20110022121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20110022121 is a deficient number, since it is larger than the sum of its proper divisors (11540122135).

20110022121 is a wasteful number, since it uses less digits than its factorization.

20110022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17413.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20110022121 its reverse (12122001102), we get a palindrome (32232023223).

The spelling of 20110022121 in words is "twenty billion, one hundred ten million, twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 7 21 31 93 217 651 2011 6033 14077 15361 42231 46083 62341 107527 187023 322581 436387 476191 1309161 1428573 3333337 10000011 30890971 92672913 216236797 648710391 957620101 2872860303 6703340707 20110022121