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122021102011 = 1731230724329
BaseRepresentation
bin111000110100100000…
…1100100000110111011
3102122221212020020020111
41301221001210012323
53444344400231021
6132020011405151
711546540153044
oct1615101440673
9378855206214
10122021102011
1147826804a66
121b7947537b7
13b677b3c613
145c979358cb
1532926358e1
hex1c690641bb

122021102011 has 24 divisors (see below), whose sum is σ = 133941321360. Its totient is φ = 110772195840.

The previous prime is 122021101987. The next prime is 122021102057. The reversal of 122021102011 is 110201120221.

It is not a de Polignac number, because 122021102011 - 227 = 121886884283 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122021101982 and 122021102000.

It is not an unprimeable number, because it can be changed into a prime (122021102311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5003295 + ... + 5027623.

It is an arithmetic number, because the mean of its divisors is an integer number (5580888390).

Almost surely, 2122021102011 is an apocalyptic number.

122021102011 is a deficient number, since it is larger than the sum of its proper divisors (11920219349).

122021102011 is a wasteful number, since it uses less digits than its factorization.

122021102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24715 (or 24684 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122021102011 its reverse (110201120221), we get a palindrome (232222222232).

The spelling of 122021102011 in words is "one hundred twenty-two billion, twenty-one million, one hundred two thousand, eleven".

Divisors: 1 17 31 307 527 961 5219 9517 16337 24329 161789 295027 413593 754199 5015459 7469003 12821383 23380169 126973051 231539093 397462873 3936164581 7177711883 122021102011