Search a number
-
+
3124011257 is a prime number
BaseRepresentation
bin1011101000110100…
…1010000011111001
322001201101012210122
42322031022003321
522344221330012
61233554223025
7140262441353
oct27215120371
98051335718
103124011257
111363471994
12732284a75
133aa2b4193
14218c880d3
151343dce72
hexba34a0f9

3124011257 has 2 divisors, whose sum is σ = 3124011258. Its totient is φ = 3124011256.

The previous prime is 3124011229. The next prime is 3124011301. The reversal of 3124011257 is 7521104213.

3124011257 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., 2676096361 + 447914896 = 51731^2 + 21164^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3124011257 is a prime.

It is not a weakly prime, because it can be changed into another prime (3124011157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1562005628 + 1562005629.

It is an arithmetic number, because the mean of its divisors is an integer number (1562005629).

Almost surely, 23124011257 is an apocalyptic number.

It is an amenable number.

3124011257 is a deficient number, since it is larger than the sum of its proper divisors (1).

3124011257 is an equidigital number, since it uses as much as digits as its factorization.

3124011257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 3124011257 is about 55892.8551516202. The cubic root of 3124011257 is about 1461.8546607311.

The spelling of 3124011257 in words is "three billion, one hundred twenty-four million, eleven thousand, two hundred fifty-seven".