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3121015013 is a prime number
BaseRepresentation
bin1011101000000110…
…1110100011100101
322001111201222201122
42322001232203211
522342434440023
61233410103325
7140225122064
oct27201564345
98044658648
103121015013
111361805856
1273127ab45
133a97a545c
142187081db
15133eea2c8
hexba06e8e5

3121015013 has 2 divisors, whose sum is σ = 3121015014. Its totient is φ = 3121015012.

The previous prime is 3121014991. The next prime is 3121015021. The reversal of 3121015013 is 3105101213.

3121015013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2749219489 + 371795524 = 52433^2 + 19282^2 .

It is a cyclic number.

It is not a de Polignac number, because 3121015013 - 210 = 3121013989 is a prime.

It is a super-2 number, since 2×31210150132 = 19481469422742780338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3121014982 and 3121015000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3121015043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1560507506 + 1560507507.

It is an arithmetic number, because the mean of its divisors is an integer number (1560507507).

Almost surely, 23121015013 is an apocalyptic number.

It is an amenable number.

3121015013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3121015013 is an equidigital number, since it uses as much as digits as its factorization.

3121015013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 3121015013 is about 55866.0452600683. The cubic root of 3121015013 is about 1461.3871555533.

Adding to 3121015013 its reverse (3105101213), we get a palindrome (6226116226).

The spelling of 3121015013 in words is "three billion, one hundred twenty-one million, fifteen thousand, thirteen".