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23312121111101 is a prime number
BaseRepresentation
bin1010100110011110001101…
…01100101010001000111101
310001112121122210200001101202
411103033012230222020331
511023421211001023401
6121325235100145245
74624150043654564
oct523170654521075
9101477583601352
1023312121111101
1174786846921a9
122746066238225
131001428bcc914
145a8453ddcbdb
152a6605e7e06b
hex1533c6b2a23d

23312121111101 has 2 divisors, whose sum is σ = 23312121111102. Its totient is φ = 23312121111100.

The previous prime is 23312121111073. The next prime is 23312121111131. The reversal of 23312121111101 is 10111112121332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19295163175876 + 4016957935225 = 4392626^2 + 2004235^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23312121111101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23312121111131) 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 as a sum of consecutive naturals, namely, 11656060555550 + 11656060555551.

It is an arithmetic number, because the mean of its divisors is an integer number (11656060555551).

Almost surely, 223312121111101 is an apocalyptic number.

It is an amenable number.

23312121111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

23312121111101 is an equidigital number, since it uses as much as digits as its factorization.

23312121111101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 23312121111101 its reverse (10111112121332), we get a palindrome (33423233232433).

The spelling of 23312121111101 in words is "twenty-three trillion, three hundred twelve billion, one hundred twenty-one million, one hundred eleven thousand, one hundred one".