Search a number
-
+
31037644801 is a prime number
BaseRepresentation
bin11100111001111111…
…001110000000000001
32222010001210201110001
4130321333032000001
51002031114113201
622131500240001
72146066425232
oct347177160001
988101721401
1031037644801
1112187a39a19
126022540001
132c08352ac7
141706195089
15c19c94301
hex739fce001

31037644801 has 2 divisors, whose sum is σ = 31037644802. Its totient is φ = 31037644800.

The previous prime is 31037644739. The next prime is 31037644823. The reversal of 31037644801 is 10844673013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20552089600 + 10485555201 = 143360^2 + 102399^2 .

It is a cyclic number.

It is not a de Polignac number, because 31037644801 - 29 = 31037644289 is a prime.

It is not a weakly prime, because it can be changed into another prime (31037644831) 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, 15518822400 + 15518822401.

It is an arithmetic number, because the mean of its divisors is an integer number (15518822401).

Almost surely, 231037644801 is an apocalyptic number.

It is an amenable number.

31037644801 is a deficient number, since it is larger than the sum of its proper divisors (1).

31037644801 is an equidigital number, since it uses as much as digits as its factorization.

31037644801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 31037644801 in words is "thirty-one billion, thirty-seven million, six hundred forty-four thousand, eight hundred one".