Search a number
-
+
31243044577 is a prime number
BaseRepresentation
bin11101000110001110…
…110000011011100001
32222122101022002222011
4131012032300123201
51002441204411302
622204114512521
72154142332343
oct350616603341
988571262864
1031243044577
111228297a8a8
12607b295741
132c3ba7ab34
141725581293
15c2cd185d7
hex7463b06e1

31243044577 has 2 divisors, whose sum is σ = 31243044578. Its totient is φ = 31243044576.

The previous prime is 31243044523. The next prime is 31243044593. The reversal of 31243044577 is 77544034213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28910540961 + 2332503616 = 170031^2 + 48296^2 .

It is a cyclic number.

It is not a de Polignac number, because 31243044577 - 27 = 31243044449 is a prime.

It is a super-2 number, since 2×312430445772 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31243042577) 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, 15621522288 + 15621522289.

It is an arithmetic number, because the mean of its divisors is an integer number (15621522289).

Almost surely, 231243044577 is an apocalyptic number.

It is an amenable number.

31243044577 is a deficient number, since it is larger than the sum of its proper divisors (1).

31243044577 is an equidigital number, since it uses as much as digits as its factorization.

31243044577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 282240, while the sum is 40.

The spelling of 31243044577 in words is "thirty-one billion, two hundred forty-three million, forty-four thousand, five hundred seventy-seven".