Search a number
-
+
1022123233 is a prime number
BaseRepresentation
bin111100111011000…
…101110011100001
32122020022020111001
4330323011303201
54043130420413
6245231352001
734220622055
oct7473056341
92566266431
101022123233
11484a6434a
12246382601
131339b4b61
1499a69c65
155eb014dd
hex3cec5ce1

1022123233 has 2 divisors, whose sum is σ = 1022123234. Its totient is φ = 1022123232.

The previous prime is 1022123231. The next prime is 1022123273. The reversal of 1022123233 is 3323212201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 616181329 + 405941904 = 24823^2 + 20148^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022123233 - 21 = 1022123231 is a prime.

Together with 1022123231, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 1022123233.

It is not a weakly prime, because it can be changed into another prime (1022123231) 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, 511061616 + 511061617.

It is an arithmetic number, because the mean of its divisors is an integer number (511061617).

Almost surely, 21022123233 is an apocalyptic number.

It is an amenable number.

1022123233 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022123233 is an equidigital number, since it uses as much as digits as its factorization.

1022123233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 1022123233 is about 31970.6620669638. The cubic root of 1022123233 is about 1007.3206877529.

Adding to 1022123233 its reverse (3323212201), we get a palindrome (4345335434).

The spelling of 1022123233 in words is "one billion, twenty-two million, one hundred twenty-three thousand, two hundred thirty-three".