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122009117017 is a prime number
BaseRepresentation
bin111000110100001001…
…1110110000101011001
3102122221000200022220211
41301220103312011121
53444333313221032
6132014502451121
711546333245264
oct1615023660531
9378830608824
10122009117017
114781aa69507
121b790733aa1
13b6755043c8
145c960d5cdb
153291569747
hex1c684f6159

122009117017 has 2 divisors, whose sum is σ = 122009117018. Its totient is φ = 122009117016.

The previous prime is 122009116993. The next prime is 122009117029. The reversal of 122009117017 is 710711900221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119060192601 + 2948924416 = 345051^2 + 54304^2 .

It is an emirp because it is prime and its reverse (710711900221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122009117017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122009117017.

It is not a weakly prime, because it can be changed into another prime (122009115017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61004558508 + 61004558509.

It is an arithmetic number, because the mean of its divisors is an integer number (61004558509).

Almost surely, 2122009117017 is an apocalyptic number.

It is an amenable number.

122009117017 is a deficient number, since it is larger than the sum of its proper divisors (1).

122009117017 is an equidigital number, since it uses as much as digits as its factorization.

122009117017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1764, while the sum is 31.

The spelling of 122009117017 in words is "one hundred twenty-two billion, nine million, one hundred seventeen thousand, seventeen".