Search a number
-
+
31412414093 is a prime number
BaseRepresentation
bin11101010000010100…
…110110011010001101
310000002011222222021012
4131100110312122031
51003313034222333
622233005015005
72161300054124
oct352024663215
9100064888235
1031412414093
111235a541705
126107b54465
132c67b9c198
14173dc6cabb
15c3cb21e48
hex75053668d

31412414093 has 2 divisors, whose sum is σ = 31412414094. Its totient is φ = 31412414092.

The previous prime is 31412414063. The next prime is 31412414153. The reversal of 31412414093 is 39041421413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22518603844 + 8893810249 = 150062^2 + 94307^2 .

It is a cyclic number.

It is not a de Polignac number, because 31412414093 - 26 = 31412414029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31412414063) 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, 15706207046 + 15706207047.

It is an arithmetic number, because the mean of its divisors is an integer number (15706207047).

Almost surely, 231412414093 is an apocalyptic number.

It is an amenable number.

31412414093 is a deficient number, since it is larger than the sum of its proper divisors (1).

31412414093 is an equidigital number, since it uses as much as digits as its factorization.

31412414093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 31412414093 in words is "thirty-one billion, four hundred twelve million, four hundred fourteen thousand, ninety-three".