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3121045093 is a prime number
BaseRepresentation
bin1011101000000111…
…0101111001100101
322001111210111222201
42322001311321211
522342441420333
61233410454501
7140225305555
oct27201657145
98044714881
103121045093
111361826411
12731294431
133a97b605a
14218715165
1513400417d
hexba075e65

3121045093 has 2 divisors, whose sum is σ = 3121045094. Its totient is φ = 3121045092.

The previous prime is 3121045043. The next prime is 3121045097. The reversal of 3121045093 is 3905401213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2434238244 + 686806849 = 49338^2 + 26207^2 .

It is a cyclic number.

It is not a de Polignac number, because 3121045093 - 29 = 3121044581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3121045097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1560522546 + 1560522547.

It is an arithmetic number, because the mean of its divisors is an integer number (1560522547).

Almost surely, 23121045093 is an apocalyptic number.

It is an amenable number.

3121045093 is a deficient number, since it is larger than the sum of its proper divisors (1).

3121045093 is an equidigital number, since it uses as much as digits as its factorization.

3121045093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 3121045093 is about 55866.3144748246. The cubic root of 3121045093 is about 1461.3918504346.

The spelling of 3121045093 in words is "three billion, one hundred twenty-one million, forty-five thousand, ninety-three".