Search a number
-
+
1022023313 is a prime number
BaseRepresentation
bin111100111010101…
…101011010010001
32122020010011102022
4330322231122101
54043114221223
6245225301225
734220024543
oct7472553221
92566104368
101022023313
114849a6273
12246334815
1313397b52c
1499a41693
155ead1ac8
hex3cead691

1022023313 has 2 divisors, whose sum is σ = 1022023314. Its totient is φ = 1022023312.

The previous prime is 1022023309. The next prime is 1022023337. The reversal of 1022023313 is 3133202201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 764356609 + 257666704 = 27647^2 + 16052^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022023313 - 22 = 1022023309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1022023291 and 1022023300.

It is not a weakly prime, because it can be changed into another prime (1022023363) 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, 511011656 + 511011657.

It is an arithmetic number, because the mean of its divisors is an integer number (511011657).

Almost surely, 21022023313 is an apocalyptic number.

It is an amenable number.

1022023313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022023313 is an equidigital number, since it uses as much as digits as its factorization.

1022023313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 1022023313 is about 31969.0993460873. The cubic root of 1022023313 is about 1007.2878623688.

Adding to 1022023313 its reverse (3133202201), we get a palindrome (4155225514).

It can be divided in two parts, 10220 and 23313, that added together give a palindrome (33533).

The spelling of 1022023313 in words is "one billion, twenty-two million, twenty-three thousand, three hundred thirteen".