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811111101111029 is a prime number
BaseRepresentation
bin1011100001101100111000010…
…1000011100001101011110101
310221100220110112020112010100002
42320123032011003201223311
51322303221013341023104
611553031143520001045
7332563562135663105
oct27033160503415365
93840813466463302
10811111101111029
11215499316a55324
1276b7a922760185
1328a785aa869024
1410441db5959205
1563b8cdb51401e
hex2e1b3850e1af5

811111101111029 has 2 divisors, whose sum is σ = 811111101111030. Its totient is φ = 811111101111028.

The previous prime is 811111101111007. The next prime is 811111101111119. The reversal of 811111101111029 is 920111101111118.

811111101111029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 700707117382129 + 110403983728900 = 26470873^2 + 10507330^2 .

It is a cyclic number.

It is not a de Polignac number, because 811111101111029 - 224 = 811111084333813 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 811111101110992 and 811111101111010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (811111101111529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 405555550555514 + 405555550555515.

It is an arithmetic number, because the mean of its divisors is an integer number (405555550555515).

Almost surely, 2811111101111029 is an apocalyptic number.

It is an amenable number.

811111101111029 is a deficient number, since it is larger than the sum of its proper divisors (1).

811111101111029 is an equidigital number, since it uses as much as digits as its factorization.

811111101111029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 29.

The spelling of 811111101111029 in words is "eight hundred eleven trillion, one hundred eleven billion, one hundred one million, one hundred eleven thousand, twenty-nine".