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3123013013 is a prime number
BaseRepresentation
bin1011101000100101…
…0110010110010101
322001122111111110122
42322021112112111
522343442404023
61233521001325
7140251113131
oct27211262625
98048444418
103123013013
11136294a99a
12731a83245
133aa0249c3
14218aa83c1
151342922c8
hexba256595

3123013013 has 2 divisors, whose sum is σ = 3123013014. Its totient is φ = 3123013012.

The previous prime is 3123013001. The next prime is 3123013043. The reversal of 3123013013 is 3103103213.

3123013013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2941760644 + 181252369 = 54238^2 + 13463^2 .

It is a cyclic number.

It is not a de Polignac number, because 3123013013 - 210 = 3123011989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3123012982 and 3123013000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3123013043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1561506506 + 1561506507.

It is an arithmetic number, because the mean of its divisors is an integer number (1561506507).

Almost surely, 23123013013 is an apocalyptic number.

It is an amenable number.

3123013013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3123013013 is an equidigital number, since it uses as much as digits as its factorization.

3123013013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 3123013013 is about 55883.9244595438. The cubic root of 3123013013 is about 1461.6989375295.

Adding to 3123013013 its reverse (3103103213), we get a palindrome (6226116226).

The spelling of 3123013013 in words is "three billion, one hundred twenty-three million, thirteen thousand, thirteen".