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201101000029 is a prime number
BaseRepresentation
bin1011101101001010001…
…1011011110101011101
3201020002002000021121021
42323102203123311131
511243323324000104
6232215020204141
720346320203426
oct2732243336535
9636062007537
10201101000029
11783172a9886
1232b84399651
1315c6b460097
149a3a40064d
15536ee56754
hex2ed28dbd5d

201101000029 has 2 divisors, whose sum is σ = 201101000030. Its totient is φ = 201101000028.

The previous prime is 201100999993. The next prime is 201101000033. The reversal of 201101000029 is 920000101102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 200193604900 + 907395129 = 447430^2 + 30123^2 .

It is a cyclic number.

It is not a de Polignac number, because 201101000029 - 27 = 201100999901 is a prime.

It is a super-2 number, since 2×2011010000292 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201100999976 and 201101000021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201101000039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100550500014 + 100550500015.

It is an arithmetic number, because the mean of its divisors is an integer number (100550500015).

Almost surely, 2201101000029 is an apocalyptic number.

It is an amenable number.

201101000029 is a deficient number, since it is larger than the sum of its proper divisors (1).

201101000029 is an equidigital number, since it uses as much as digits as its factorization.

201101000029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

The spelling of 201101000029 in words is "two hundred one billion, one hundred one million, twenty-nine", and thus it is an aban number.