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1001101110029 is a prime number
BaseRepresentation
bin11101001000101100100…
…01101010101100001101
310112201000110100121110222
432210112101222230031
5112400223341010104
62043522143041125
7132220135014236
oct16442621525415
93481013317428
101001101110029
11356623529189
1214202a8a01a5
1373532447837
143664c79408d
151b09326b1be
hexe91646ab0d

1001101110029 has 2 divisors, whose sum is σ = 1001101110030. Its totient is φ = 1001101110028.

The previous prime is 1001101109969. The next prime is 1001101110043. The reversal of 1001101110029 is 9200111011001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 864578249929 + 136522860100 = 929827^2 + 369490^2 .

It is an emirp because it is prime and its reverse (9200111011001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1001101110029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001101109989 and 1001101110016.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001101110329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500550555014 + 500550555015.

It is an arithmetic number, because the mean of its divisors is an integer number (500550555015).

Almost surely, 21001101110029 is an apocalyptic number.

It is an amenable number.

1001101110029 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001101110029 is an equidigital number, since it uses as much as digits as its factorization.

1001101110029 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 17.

The spelling of 1001101110029 in words is "one trillion, one billion, one hundred one million, one hundred ten thousand, twenty-nine".