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2013023011 is a prime number
BaseRepresentation
bin111011111111100…
…0100101100100011
312012021212011102211
41313333010230203
513110313214021
6531430022551
7100612261516
oct16777045443
95167764384
102013023011
11943331a8a
124821a7a57
13261086b9c
141514c8d7d
15bbad63e1
hex77fc4b23

2013023011 has 2 divisors, whose sum is σ = 2013023012. Its totient is φ = 2013023010.

The previous prime is 2013022981. The next prime is 2013023017. The reversal of 2013023011 is 1103203102.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2013023011 - 27 = 2013022883 is a prime.

It is a super-2 number, since 2×20130230112 = 8104523285631012242, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2013022982 and 2013023000.

It is not a weakly prime, because it can be changed into another prime (2013023017) 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, 1006511505 + 1006511506.

It is an arithmetic number, because the mean of its divisors is an integer number (1006511506).

Almost surely, 22013023011 is an apocalyptic number.

2013023011 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013023011 is an equidigital number, since it uses as much as digits as its factorization.

2013023011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2013023011 is about 44866.7249863415. The cubic root of 2013023011 is about 1262.6497966362.

Adding to 2013023011 its reverse (1103203102), we get a palindrome (3116226113).

The spelling of 2013023011 in words is "two billion, thirteen million, twenty-three thousand, eleven".