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100122000029 is a prime number
BaseRepresentation
bin101110100111110111…
…1000111101010011101
3100120102200012120211022
41131033233013222131
53120022213000104
6113555001533525
710143054646502
oct1351757075235
9316380176738
10100122000029
1139509293577
12174a27a42a5
139597b86acc
144bbb33b4a9
15290ecd7bbe
hex174fbc7a9d

100122000029 has 2 divisors, whose sum is σ = 100122000030. Its totient is φ = 100122000028.

The previous prime is 100122000007. The next prime is 100122000061. The reversal of 100122000029 is 920000221001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88730707129 + 11391292900 = 297877^2 + 106730^2 .

It is an emirp because it is prime and its reverse (920000221001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100122000029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100121999980 and 100122000016.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100122050029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061000014 + 50061000015.

It is an arithmetic number, because the mean of its divisors is an integer number (50061000015).

Almost surely, 2100122000029 is an apocalyptic number.

It is an amenable number.

100122000029 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122000029 is an equidigital number, since it uses as much as digits as its factorization.

100122000029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

The spelling of 100122000029 in words is "one hundred billion, one hundred twenty-two million, twenty-nine", and thus it is an aban number.