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122810729 is a prime number
BaseRepresentation
bin1110101000111…
…11000101101001
322120002102122112
413110133011221
5222414420404
620104132105
73020605526
oct724370551
9276072575
10122810729
1163361578
1235167035
131c59c392
141244c14d
15abad56e
hex751f169

122810729 has 2 divisors, whose sum is σ = 122810730. Its totient is φ = 122810728.

The previous prime is 122810719. The next prime is 122810749. The reversal of 122810729 is 927018221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111788329 + 11022400 = 10573^2 + 3320^2 .

It is an emirp because it is prime and its reverse (927018221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122810729 - 24 = 122810713 is a prime.

It is a super-2 number, since 2×1228107292 = 30164950315022882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122810695 and 122810704.

It is not a weakly prime, because it can be changed into another prime (122810719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61405364 + 61405365.

It is an arithmetic number, because the mean of its divisors is an integer number (61405365).

Almost surely, 2122810729 is an apocalyptic number.

It is an amenable number.

122810729 is a deficient number, since it is larger than the sum of its proper divisors (1).

122810729 is an equidigital number, since it uses as much as digits as its factorization.

122810729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 122810729 is about 11082.0002255910. Note that the first 3 decimals coincide. The cubic root of 122810729 is about 497.0637627749.

The spelling of 122810729 in words is "one hundred twenty-two million, eight hundred ten thousand, seven hundred twenty-nine".