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1100001000029 is a prime number
BaseRepresentation
bin10000000000011101001…
…010110011101001011101
310220011021221221120111212
4100000131022303221131
5121010300224000104
62201200010554205
7142321023141041
oct20003512635135
93804257846455
101100001000029
11394564984368
12159230138965
137c9640684c9
143b351688021
151d930aec36e
hex1001d2b3a5d

1100001000029 has 2 divisors, whose sum is σ = 1100001000030. Its totient is φ = 1100001000028.

The previous prime is 1100001000023. The next prime is 1100001000031. The reversal of 1100001000029 is 9200001000011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1080556092004 + 19444908025 = 1039498^2 + 139445^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100001000029 - 228 = 1099732564573 is a prime.

It is a Sophie Germain prime.

Together with 1100001000031, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1100000999977 and 1100001000022.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1100001000023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550000500014 + 550000500015.

It is an arithmetic number, because the mean of its divisors is an integer number (550000500015).

Almost surely, 21100001000029 is an apocalyptic number.

It is an amenable number.

1100001000029 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100001000029 is an equidigital number, since it uses as much as digits as its factorization.

1100001000029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 14.

Subtracting from 1100001000029 its product of nonzero digits (18), we obtain a palindrome (1100001000011).

The spelling of 1100001000029 in words is "one trillion, one hundred billion, one million, twenty-nine", and thus it is an aban number.