Search a number
-
+
1016329541 is a prime number
BaseRepresentation
bin111100100100111…
…111010101000101
32121211101220000212
4330210333111011
54040140021131
6244503245205
734120441613
oct7444772505
92554356025
101016329541
11481767477
12244449805
13132736a36
1498d9c6b3
155e359a2b
hex3c93f545

1016329541 has 2 divisors, whose sum is σ = 1016329542. Its totient is φ = 1016329540.

The previous prime is 1016329519. The next prime is 1016329583. The reversal of 1016329541 is 1459236101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 563065441 + 453264100 = 23729^2 + 21290^2 .

It is a cyclic number.

It is not a de Polignac number, because 1016329541 - 26 = 1016329477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1016329498 and 1016329507.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1016329441) 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, 508164770 + 508164771.

It is an arithmetic number, because the mean of its divisors is an integer number (508164771).

Almost surely, 21016329541 is an apocalyptic number.

It is an amenable number.

1016329541 is a deficient number, since it is larger than the sum of its proper divisors (1).

1016329541 is an equidigital number, since it uses as much as digits as its factorization.

1016329541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 1016329541 is about 31879.9237922552. The cubic root of 1016329541 is about 1005.4138180159.

The spelling of 1016329541 in words is "one billion, sixteen million, three hundred twenty-nine thousand, five hundred forty-one".