Search a number
-
+
1033031131229 is a prime number
BaseRepresentation
bin11110000100001010111…
…01000010000001011101
310122202102201022202012202
433002011131002001131
5113411121432144404
62110322402141245
7134430321510116
oct17020535020135
93582381282182
101033031131229
11369119162759
12148260051825
1376550624cc6
1437ddb27d20d
151bd1153321e
hexf08574205d

1033031131229 has 2 divisors, whose sum is σ = 1033031131230. Its totient is φ = 1033031131228.

The previous prime is 1033031131133. The next prime is 1033031131243. The reversal of 1033031131229 is 9221311303301.

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., 753293805625 + 279737325604 = 867925^2 + 528902^2 .

It is a cyclic number.

It is not a de Polignac number, because 1033031131229 - 212 = 1033031127133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1033031131829) 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, 516515565614 + 516515565615.

It is an arithmetic number, because the mean of its divisors is an integer number (516515565615).

Almost surely, 21033031131229 is an apocalyptic number.

It is an amenable number.

1033031131229 is a deficient number, since it is larger than the sum of its proper divisors (1).

1033031131229 is an equidigital number, since it uses as much as digits as its factorization.

1033031131229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 29.

The spelling of 1033031131229 in words is "one trillion, thirty-three billion, thirty-one million, one hundred thirty-one thousand, two hundred twenty-nine".