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122122110011 = 11232161223367
BaseRepresentation
bin111000110111100001…
…0111000010000111011
3102200012220021222011112
41301233002320100323
54000101230010021
6132034020350535
711552204544026
oct1615702702073
9380186258145
10122122110011
1147878824850
121b80254544b
13b692a46b75
145ca710a1bd
15329b438d5b
hex1c6f0b843b

122122110011 has 16 divisors (see below), whose sum is σ = 139081425408. Its totient is φ = 106143523200.

The previous prime is 122122110001. The next prime is 122122110013. The reversal of 122122110011 is 110011221221.

It is not a de Polignac number, because 122122110011 - 222 = 122117915707 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122122110013) 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 15 ways as a sum of consecutive naturals, for example, 435050 + ... + 658416.

It is an arithmetic number, because the mean of its divisors is an integer number (8692589088).

Almost surely, 2122122110011 is an apocalyptic number.

122122110011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122122110011 is a deficient number, since it is larger than the sum of its proper divisors (16959315397).

122122110011 is a wasteful number, since it uses less digits than its factorization.

122122110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225562.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122122110011 its reverse (110011221221), we get a palindrome (232133331232).

The spelling of 122122110011 in words is "one hundred twenty-two billion, one hundred twenty-two million, one hundred ten thousand, eleven".

Divisors: 1 11 23 253 2161 23771 49703 223367 546733 2457037 5137441 56511851 482696087 5309656957 11102010001 122122110011