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12302302122101 is a prime number
BaseRepresentation
bin1011001100000101101001…
…0110010001000001110101
31121120002101120212001101002
42303001122112101001311
53103030103320401401
642055333301413045
72406545341445165
oct263013226210165
947502346761332
1012302302122101
113a13416911552
12146832810a185
136b3143457504
143076127825a5
1516502776ea6b
hexb305a591075

12302302122101 has 2 divisors, whose sum is σ = 12302302122102. Its totient is φ = 12302302122100.

The previous prime is 12302302122041. The next prime is 12302302122127. The reversal of 12302302122101 is 10122120320321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11244962929201 + 1057339192900 = 3353351^2 + 1028270^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12302302122101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12302302122181) 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 as a sum of consecutive naturals, namely, 6151151061050 + 6151151061051.

It is an arithmetic number, because the mean of its divisors is an integer number (6151151061051).

Almost surely, 212302302122101 is an apocalyptic number.

It is an amenable number.

12302302122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12302302122101 is an equidigital number, since it uses as much as digits as its factorization.

12302302122101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12302302122101 its reverse (10122120320321), we get a palindrome (22424422442422).

The spelling of 12302302122101 in words is "twelve trillion, three hundred two billion, three hundred two million, one hundred twenty-two thousand, one hundred one".