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2042133011 is a prime number
BaseRepresentation
bin111100110111000…
…0111101000010011
312021022122002211222
41321232013220103
513140241224021
6534345555255
7101414562362
oct17156075023
95238562758
102042133011
11958804836
1248baa5b2b
13267109a39
141553057d9
15be4366ab
hex79b87a13

2042133011 has 2 divisors, whose sum is σ = 2042133012. Its totient is φ = 2042133010.

The previous prime is 2042132969. The next prime is 2042133013. The reversal of 2042133011 is 1103312402.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2042133011 is a prime.

It is a super-2 number, since 2×20421330112 = 8340614469231852242, which contains 22 as substring.

Together with 2042133013, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2042133013) 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, 1021066505 + 1021066506.

It is an arithmetic number, because the mean of its divisors is an integer number (1021066506).

Almost surely, 22042133011 is an apocalyptic number.

2042133011 is a deficient number, since it is larger than the sum of its proper divisors (1).

2042133011 is an equidigital number, since it uses as much as digits as its factorization.

2042133011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2042133011 is about 45189.9658220716. The cubic root of 2042133011 is about 1268.7070170883.

Adding to 2042133011 its reverse (1103312402), we get a palindrome (3145445413).

The spelling of 2042133011 in words is "two billion, forty-two million, one hundred thirty-three thousand, eleven".