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122766097 is a prime number
BaseRepresentation
bin1110101000101…
…00001100010001
322120000011102111
413110110030101
5222412003342
620103145321
73020331436
oct724241421
9276004374
10122766097
1163330a93
1235145241
131c584c7c
1412439b8d
15aba0217
hex7514311

122766097 has 2 divisors, whose sum is σ = 122766098. Its totient is φ = 122766096.

The previous prime is 122766089. The next prime is 122766103. The reversal of 122766097 is 790667221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120209296 + 2556801 = 10964^2 + 1599^2 .

It is an emirp because it is prime and its reverse (790667221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122766097 - 23 = 122766089 is a prime.

It is a super-2 number, since 2×1227660972 = 30143029145226818, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122766697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61383048 + 61383049.

It is an arithmetic number, because the mean of its divisors is an integer number (61383049).

Almost surely, 2122766097 is an apocalyptic number.

It is an amenable number.

122766097 is a deficient number, since it is larger than the sum of its proper divisors (1).

122766097 is an equidigital number, since it uses as much as digits as its factorization.

122766097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 122766097 is about 11079.9863267064. The cubic root of 122766097 is about 497.0035410063.

The spelling of 122766097 in words is "one hundred twenty-two million, seven hundred sixty-six thousand, ninety-seven".