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1054100029 is a prime number
BaseRepresentation
bin111110110101000…
…100101000111101
32201110110211101211
4332311010220331
54124322200104
6252333004421
735056462633
oct7665045075
92643424354
101054100029
114a1014a54
12255023711
1313a4cc838
149ddd1353
156281ae04
hex3ed44a3d

1054100029 has 2 divisors, whose sum is σ = 1054100030. Its totient is φ = 1054100028.

The previous prime is 1054100027. The next prime is 1054100059. The reversal of 1054100029 is 9200014501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 946977529 + 107122500 = 30773^2 + 10350^2 .

It is an emirp because it is prime and its reverse (9200014501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1054100029 - 21 = 1054100027 is a prime.

It is a super-2 number, since 2×10541000292 = 2222253742275601682, which contains 22 as substring.

Together with 1054100027, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1054099982 and 1054100009.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1054100027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 527050014 + 527050015.

It is an arithmetic number, because the mean of its divisors is an integer number (527050015).

Almost surely, 21054100029 is an apocalyptic number.

It is an amenable number.

1054100029 is a deficient number, since it is larger than the sum of its proper divisors (1).

1054100029 is an equidigital number, since it uses as much as digits as its factorization.

1054100029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 1054100029 is about 32466.9066743353. The cubic root of 1054100029 is about 1017.7175765579.

The spelling of 1054100029 in words is "one billion, fifty-four million, one hundred thousand, twenty-nine".