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122013312217 is a prime number
BaseRepresentation
bin111000110100010001…
…1110110010011011001
3102122221022120110122121
41301220203312103121
53444340401442332
6132015132421241
711546414020216
oct1615043662331
9378838513577
10122013312217
1147822374415
121b792017821
13b676342a84
145c968a8b0d
153291ae7797
hex1c688f64d9

122013312217 has 2 divisors, whose sum is σ = 122013312218. Its totient is φ = 122013312216.

The previous prime is 122013312209. The next prime is 122013312241. The reversal of 122013312217 is 712213310221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119370941001 + 2642371216 = 345501^2 + 51404^2 .

It is a cyclic number.

It is not a de Polignac number, because 122013312217 - 23 = 122013312209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122013312191 and 122013312200.

It is not a weakly prime, because it can be changed into another prime (122013312247) 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, 61006656108 + 61006656109.

It is an arithmetic number, because the mean of its divisors is an integer number (61006656109).

Almost surely, 2122013312217 is an apocalyptic number.

It is an amenable number.

122013312217 is a deficient number, since it is larger than the sum of its proper divisors (1).

122013312217 is an equidigital number, since it uses as much as digits as its factorization.

122013312217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 25.

Adding to 122013312217 its reverse (712213310221), we get a palindrome (834226622438).

The spelling of 122013312217 in words is "one hundred twenty-two billion, thirteen million, three hundred twelve thousand, two hundred seventeen".