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110101100029 is a prime number
BaseRepresentation
bin110011010001010001…
…0010111010111111101
3101112012010122101112121
41212202202113113331
53300441340200104
6122325120402541
710645256623504
oct1464242272775
9345163571477
10110101100029
114276a223058
1219408776451
13a4c84372cb
1454867bd83b
152ce5e18254
hex19a28975fd

110101100029 has 2 divisors, whose sum is σ = 110101100030. Its totient is φ = 110101100028.

The previous prime is 110101100017. The next prime is 110101100033. The reversal of 110101100029 is 920001101011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103938536025 + 6162564004 = 322395^2 + 78502^2 .

It is a cyclic number.

It is not a de Polignac number, because 110101100029 - 221 = 110099002877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110101099985 and 110101100021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110101100089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050550014 + 55050550015.

It is an arithmetic number, because the mean of its divisors is an integer number (55050550015).

Almost surely, 2110101100029 is an apocalyptic number.

It is an amenable number.

110101100029 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101100029 is an equidigital number, since it uses as much as digits as its factorization.

110101100029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 16.

The spelling of 110101100029 in words is "one hundred ten billion, one hundred one million, one hundred thousand, twenty-nine".