Search a number
-
+
1023781001 is a prime number
BaseRepresentation
bin111101000001011…
…010100010001001
32122100102110111212
4331001122202021
54044041443001
6245331102505
734240665155
oct7501324211
92570373455
101023781001
11485996901
12246a41a35
13134145599
1499d7c065
155ed2c7bb
hex3d05a889

1023781001 has 2 divisors, whose sum is σ = 1023781002. Its totient is φ = 1023781000.

The previous prime is 1023780941. The next prime is 1023781007. The reversal of 1023781001 is 1001873201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 965655625 + 58125376 = 31075^2 + 7624^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023781001 - 214 = 1023764617 is a prime.

It is a super-4 number, since 4×10237810014 (a number of 37 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (1023781007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511890500 + 511890501.

It is an arithmetic number, because the mean of its divisors is an integer number (511890501).

Almost surely, 21023781001 is an apocalyptic number.

It is an amenable number.

1023781001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023781001 is an equidigital number, since it uses as much as digits as its factorization.

1023781001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 1023781001 is about 31996.5779576504. The cubic root of 1023781001 is about 1007.8649802486.

The spelling of 1023781001 in words is "one billion, twenty-three million, seven hundred eighty-one thousand, one".