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122819029 is a prime number
BaseRepresentation
bin1110101001000…
…01000111010101
322120002212000221
413110201013111
5222420202104
620104234341
73020641654
oct724410725
9276085027
10122819029
1163367833
123516b9b1
131c5a30a8
141245119b
15abb0c54
hex75211d5

122819029 has 2 divisors, whose sum is σ = 122819030. Its totient is φ = 122819028.

The previous prime is 122819027. The next prime is 122819041. The reversal of 122819029 is 920918221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104346225 + 18472804 = 10215^2 + 4298^2 .

It is a cyclic number.

It is not a de Polignac number, because 122819029 - 21 = 122819027 is a prime.

Together with 122819027, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 122818985 and 122819003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122819027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61409514 + 61409515.

It is an arithmetic number, because the mean of its divisors is an integer number (61409515).

Almost surely, 2122819029 is an apocalyptic number.

It is an amenable number.

122819029 is a deficient number, since it is larger than the sum of its proper divisors (1).

122819029 is an equidigital number, since it uses as much as digits as its factorization.

122819029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 122819029 is about 11082.3747003970. The cubic root of 122819029 is about 497.0749603207.

It can be divided in two parts, 12 and 2819029, that added together give a square (2819041 = 16792).

The spelling of 122819029 in words is "one hundred twenty-two million, eight hundred nineteen thousand, twenty-nine".