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2013102023 is a prime number
BaseRepresentation
bin111011111111101…
…0111111111000111
312012022000011211012
41313333113333013
513110323231043
6531431432435
7100613041052
oct16777277707
95168004735
102013102023
11943386389
1248222571b
132610b3b3a
14151509a99
15bbaeea18
hex77fd7fc7

2013102023 has 2 divisors, whose sum is σ = 2013102024. Its totient is φ = 2013102022.

The previous prime is 2013101999. The next prime is 2013102029. The reversal of 2013102023 is 3202013102.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2013102023 - 212 = 2013097927 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2013101989 and 2013102007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013102029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006551011 + 1006551012.

It is an arithmetic number, because the mean of its divisors is an integer number (1006551012).

Almost surely, 22013102023 is an apocalyptic number.

2013102023 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013102023 is an equidigital number, since it uses as much as digits as its factorization.

2013102023 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 14.

The square root of 2013102023 is about 44867.6054966164. The cubic root of 2013102023 is about 1262.6663162653. Note that the first 3 decimals are identical.

Adding to 2013102023 its reverse (3202013102), we get a palindrome (5215115125).

The spelling of 2013102023 in words is "two billion, thirteen million, one hundred two thousand, twenty-three".