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23305111666217 is a prime number
BaseRepresentation
bin1010100110010001001001…
…11001101111111000101001
310001111221120022011100122222
411103020210321233320221
511023312332041304332
6121322115343323425
74623511251450323
oct523104471577051
9101457508140588
1023305111666217
117475707a77547
12274482a8b0575
13100087c96a9b4
145a7d8b104613
152a63458eb712
hex153224e6fe29

23305111666217 has 2 divisors, whose sum is σ = 23305111666218. Its totient is φ = 23305111666216.

The previous prime is 23305111666211. The next prime is 23305111666223. The reversal of 23305111666217 is 71266611150332.

It is a balanced prime because it is at equal distance from previous prime (23305111666211) and next prime (23305111666223).

It can be written as a sum of positive squares in only one way, i.e., 22197252268816 + 1107859397401 = 4711396^2 + 1052549^2 .

It is a cyclic number.

It is not a de Polignac number, because 23305111666217 - 24 = 23305111666201 is a prime.

It is not a weakly prime, because it can be changed into another prime (23305111666211) 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, 11652555833108 + 11652555833109.

It is an arithmetic number, because the mean of its divisors is an integer number (11652555833109).

Almost surely, 223305111666217 is an apocalyptic number.

It is an amenable number.

23305111666217 is a deficient number, since it is larger than the sum of its proper divisors (1).

23305111666217 is an equidigital number, since it uses as much as digits as its factorization.

23305111666217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 272160, while the sum is 44.

The spelling of 23305111666217 in words is "twenty-three trillion, three hundred five billion, one hundred eleven million, six hundred sixty-six thousand, two hundred seventeen".