Search a number
-
+
10033223011297 is a prime number
BaseRepresentation
bin1001001000000000101010…
…1100011000101111100001
31022112011111120012002112021
42102000022230120233201
52303341020042330142
633201110553301441
72053606422313453
oct222001254305741
938464446162467
1010033223011297
11321907a908152
12116060a104881
1357a18a1880a5
142698796322d3
15125ec19b3267
hex9200ab18be1

10033223011297 has 2 divisors, whose sum is σ = 10033223011298. Its totient is φ = 10033223011296.

The previous prime is 10033223011237. The next prime is 10033223011319. The reversal of 10033223011297 is 79211032233001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6480303374736 + 3552919636561 = 2545644^2 + 1884919^2 .

It is a cyclic number.

It is not a de Polignac number, because 10033223011297 - 243 = 1237129989089 is a prime.

It is not a weakly prime, because it can be changed into another prime (10033223011237) 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, 5016611505648 + 5016611505649.

It is an arithmetic number, because the mean of its divisors is an integer number (5016611505649).

Almost surely, 210033223011297 is an apocalyptic number.

It is an amenable number.

10033223011297 is a deficient number, since it is larger than the sum of its proper divisors (1).

10033223011297 is an equidigital number, since it uses as much as digits as its factorization.

10033223011297 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13608, while the sum is 34.

Adding to 10033223011297 its reverse (79211032233001), we get a palindrome (89244255244298).

The spelling of 10033223011297 in words is "ten trillion, thirty-three billion, two hundred twenty-three million, eleven thousand, two hundred ninety-seven".