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122303023301 is a prime number
BaseRepresentation
bin111000111100111010…
…1000000100011000101
3102200200111201022112202
41301321311000203011
54000434033221201
6132104002124245
711556532355024
oct1617165004305
9380614638482
10122303023301
1147960960668
121b853050685
13b6c137a654
145cc31608bb
1532ac272c6b
hex1c79d408c5

122303023301 has 2 divisors, whose sum is σ = 122303023302. Its totient is φ = 122303023300.

The previous prime is 122303023267. The next prime is 122303023307. The reversal of 122303023301 is 103320303221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112443526276 + 9859497025 = 335326^2 + 99295^2 .

It is an emirp because it is prime and its reverse (103320303221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122303023301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122303023307) 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 as a sum of consecutive naturals, namely, 61151511650 + 61151511651.

It is an arithmetic number, because the mean of its divisors is an integer number (61151511651).

Almost surely, 2122303023301 is an apocalyptic number.

It is an amenable number.

122303023301 is a deficient number, since it is larger than the sum of its proper divisors (1).

122303023301 is an equidigital number, since it uses as much as digits as its factorization.

122303023301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 122303023301 its reverse (103320303221), we get a palindrome (225623326522).

The spelling of 122303023301 in words is "one hundred twenty-two billion, three hundred three million, twenty-three thousand, three hundred one".