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122181029 is a prime number
BaseRepresentation
bin1110100100001…
…01010110100101
322111220102212022
413102011112211
5222234243104
620042432525
73012343625
oct722052645
9274812768
10122181029
1162a71463
1234b02745
131c40b889
1412326885
15aad6bbe
hex74855a5

122181029 has 2 divisors, whose sum is σ = 122181030. Its totient is φ = 122181028.

The previous prime is 122180977. The next prime is 122181047. The reversal of 122181029 is 920181221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102556129 + 19624900 = 10127^2 + 4430^2 .

It is an emirp because it is prime and its reverse (920181221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122181029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122180989 and 122181007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122181629) 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, 61090514 + 61090515.

It is an arithmetic number, because the mean of its divisors is an integer number (61090515).

Almost surely, 2122181029 is an apocalyptic number.

It is an amenable number.

122181029 is a deficient number, since it is larger than the sum of its proper divisors (1).

122181029 is an equidigital number, since it uses as much as digits as its factorization.

122181029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 122181029 is about 11053.5527772748. The cubic root of 122181029 is about 496.2127580247.

The spelling of 122181029 in words is "one hundred twenty-two million, one hundred eighty-one thousand, twenty-nine".