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2102001029 is a prime number
BaseRepresentation
bin111110101001001…
…1111110110000101
312102111021201022222
41331102133312011
513301103013104
6544325102125
7103042466612
oct17522376605
95374251288
102102001029
11989585537
124a7b57945
1327663b8bb
1415d24b509
15c48101be
hex7d49fd85

2102001029 has 2 divisors, whose sum is σ = 2102001030. Its totient is φ = 2102001028.

The previous prime is 2102001007. The next prime is 2102001049. The reversal of 2102001029 is 9201002012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1544332804 + 557668225 = 39298^2 + 23615^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102001029 - 28 = 2102000773 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2102000998 and 2102001016.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2102001049) 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, 1051000514 + 1051000515.

It is an arithmetic number, because the mean of its divisors is an integer number (1051000515).

Almost surely, 22102001029 is an apocalyptic number.

It is an amenable number.

2102001029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102001029 is an equidigital number, since it uses as much as digits as its factorization.

2102001029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 2102001029 is about 45847.5847673572. The cubic root of 2102001029 is about 1280.9857780944.

The spelling of 2102001029 in words is "two billion, one hundred two million, one thousand, twenty-nine".