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1006111021 is a prime number
BaseRepresentation
bin111011111110000…
…000100100101101
32121010011201212011
4323332000210231
54030031023041
6243500241221
733634542166
oct7376004455
92533151764
101006111021
11476a18113
12240b40211
13130599886
149789c76d
155d4dbe81
hex3bf8092d

1006111021 has 2 divisors, whose sum is σ = 1006111022. Its totient is φ = 1006111020.

The previous prime is 1006111019. The next prime is 1006111079. The reversal of 1006111021 is 1201116001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 974064100 + 32046921 = 31210^2 + 5661^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006111021 - 21 = 1006111019 is a prime.

Together with 1006111019, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1006110992 and 1006111010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006111081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503055510 + 503055511.

It is an arithmetic number, because the mean of its divisors is an integer number (503055511).

Almost surely, 21006111021 is an apocalyptic number.

It is an amenable number.

1006111021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006111021 is an equidigital number, since it uses as much as digits as its factorization.

1006111021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 13.

The square root of 1006111021 is about 31719.2531595559. The cubic root of 1006111021 is about 1002.0328716326.

Adding to 1006111021 its reverse (1201116001), we get a palindrome (2207227022).

The spelling of 1006111021 in words is "one billion, six million, one hundred eleven thousand, twenty-one".