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1023002021 is a prime number
BaseRepresentation
bin111100111110011…
…100010110100101
32122021221212221202
4330332130112211
54043342031041
6245302252245
734231242116
oct7476342645
92567855852
101023002021
11485504618
12246727085
13133c31b52
1499c1820d
155ec26a9b
hex3cf9c5a5

1023002021 has 2 divisors, whose sum is σ = 1023002022. Its totient is φ = 1023002020.

The previous prime is 1023002017. The next prime is 1023002023. The reversal of 1023002021 is 1202003201.

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., 984076900 + 38925121 = 31370^2 + 6239^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023002021 - 22 = 1023002017 is a prime.

Together with 1023002023, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1023001993 and 1023002011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1023002023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511501010 + 511501011.

It is an arithmetic number, because the mean of its divisors is an integer number (511501011).

Almost surely, 21023002021 is an apocalyptic number.

It is an amenable number.

1023002021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023002021 is an equidigital number, since it uses as much as digits as its factorization.

1023002021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1023002021 is about 31984.4027769787. The cubic root of 1023002021 is about 1007.6092921437.

Adding to 1023002021 its reverse (1202003201), we get a palindrome (2225005222).

The spelling of 1023002021 in words is "one billion, twenty-three million, two thousand, twenty-one".