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3131805893 is a prime number
BaseRepresentation
bin1011101010101011…
…1001000011000101
322002021001020000212
42322222321003011
522403220242033
61234433245205
7140415624266
oct27252710305
98067036025
103131805893
111367906137
12734a03805
133abab2ca8
14219d1696d
15134e2c748
hexbaab90c5

3131805893 has 2 divisors, whose sum is σ = 3131805894. Its totient is φ = 3131805892.

The previous prime is 3131805871. The next prime is 3131805913. The reversal of 3131805893 is 3985081313.

It is a happy number.

3131805893 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., 2089678369 + 1042127524 = 45713^2 + 32282^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3131805893 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3131805893.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3131885893) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1565902946 + 1565902947.

It is an arithmetic number, because the mean of its divisors is an integer number (1565902947).

Almost surely, 23131805893 is an apocalyptic number.

It is an amenable number.

3131805893 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131805893 is an equidigital number, since it uses as much as digits as its factorization.

3131805893 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 3131805893 is about 55962.5400870975. The cubic root of 3131805893 is about 1463.0694622941.

The spelling of 3131805893 in words is "three billion, one hundred thirty-one million, eight hundred five thousand, eight hundred ninety-three".