Search a number
-
+
73033031 is a prime number
BaseRepresentation
bin1000101101001…
…10010101000111
312002102110111002
410112212111013
5122144024111
611125203515
71544525201
oct426462507
9162373432
1073033031
1138252885
122056059b
1312191216
1499b1771
15662963b
hex45a6547

73033031 has 2 divisors, whose sum is σ = 73033032. Its totient is φ = 73033030.

The previous prime is 73033021. The next prime is 73033033. The reversal of 73033031 is 13033037.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 73033031 - 210 = 73032007 is a prime.

It is a super-2 number, since 2×730330312 = 10667647234093922, which contains 22 as substring.

Together with 73033033, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 73032994 and 73033012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (73033033) 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, 36516515 + 36516516.

It is an arithmetic number, because the mean of its divisors is an integer number (36516516).

Almost surely, 273033031 is an apocalyptic number.

73033031 is a deficient number, since it is larger than the sum of its proper divisors (1).

73033031 is an equidigital number, since it uses as much as digits as its factorization.

73033031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 20.

The square root of 73033031 is about 8545.9365197736. The cubic root of 73033031 is about 417.9969456367.

Adding to 73033031 its reverse (13033037), we get a palindrome (86066068).

The spelling of 73033031 in words is "seventy-three million, thirty-three thousand, thirty-one".