Search a number
-
+
1072388321 is a prime number
BaseRepresentation
bin111111111010110…
…101100011100001
32202201212222012222
4333322311203201
54144012411241
6254225000425
735401102364
oct7772654341
92681788188
101072388321
11500376244
1225b183115
13141233b04
14a25d20db
156422ea4b
hex3feb58e1

1072388321 has 2 divisors, whose sum is σ = 1072388322. Its totient is φ = 1072388320.

The previous prime is 1072388243. The next prime is 1072388351. The reversal of 1072388321 is 1238832701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 591024721 + 481363600 = 24311^2 + 21940^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1072388321 is a prime.

It is a super-2 number, since 2×10723883212 = 2300033422034398082, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1072388351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 536194160 + 536194161.

It is an arithmetic number, because the mean of its divisors is an integer number (536194161).

Almost surely, 21072388321 is an apocalyptic number.

It is an amenable number.

1072388321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1072388321 is an equidigital number, since it uses as much as digits as its factorization.

1072388321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 1072388321 is about 32747.3406706560. The cubic root of 1072388321 is about 1023.5695520665.

The spelling of 1072388321 in words is "one billion, seventy-two million, three hundred eighty-eight thousand, three hundred twenty-one".