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122302144417 is a prime number
BaseRepresentation
bin111000111100111000…
…1101001111110100001
3102200200110001122221111
41301321301221332201
54000433322110132
6132103531223321
711556522034465
oct1617161517641
9380613048844
10122302144417
1147960410312
121b8528a7b41
13b6c11305bb
145cc2db24a5
1532ac14c647
hex1c79c69fa1

122302144417 has 2 divisors, whose sum is σ = 122302144418. Its totient is φ = 122302144416.

The previous prime is 122302144387. The next prime is 122302144439. The reversal of 122302144417 is 714441203221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89802708241 + 32499436176 = 299671^2 + 180276^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122302144417 is a prime.

It is not a weakly prime, because it can be changed into another prime (122302154417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61151072208 + 61151072209.

It is an arithmetic number, because the mean of its divisors is an integer number (61151072209).

Almost surely, 2122302144417 is an apocalyptic number.

It is an amenable number.

122302144417 is a deficient number, since it is larger than the sum of its proper divisors (1).

122302144417 is an equidigital number, since it uses as much as digits as its factorization.

122302144417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10752, while the sum is 31.

Adding to 122302144417 its reverse (714441203221), we get a palindrome (836743347638).

The spelling of 122302144417 in words is "one hundred twenty-two billion, three hundred two million, one hundred forty-four thousand, four hundred seventeen".