Search a number
-
+
1022133331 is a prime number
BaseRepresentation
bin111100111011001…
…000010001010011
32122020022202100001
4330323020101103
54043131231311
6245231510431
734220663362
oct7473102123
92566282301
101022133331
11484a7099a
12246388417
131339b962b
1499a6d7d9
155eb044c1
hex3cec8453

1022133331 has 2 divisors, whose sum is σ = 1022133332. Its totient is φ = 1022133330.

The previous prime is 1022133323. The next prime is 1022133337. The reversal of 1022133331 is 1333312201.

1022133331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1022133331 - 23 = 1022133323 is a prime.

It is a super-2 number, since 2×10221333312 = 2089513092682311122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1022133299 and 1022133308.

It is not a weakly prime, because it can be changed into another prime (1022133337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511066665 + 511066666.

It is an arithmetic number, because the mean of its divisors is an integer number (511066666).

Almost surely, 21022133331 is an apocalyptic number.

1022133331 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022133331 is an equidigital number, since it uses as much as digits as its factorization.

1022133331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 1022133331 is about 31970.8199926120. The cubic root of 1022133331 is about 1007.3240049951.

Adding to 1022133331 its reverse (1333312201), we get a palindrome (2355445532).

The spelling of 1022133331 in words is "one billion, twenty-two million, one hundred thirty-three thousand, three hundred thirty-one".