Search a number
-
+
13233333230101 is a prime number
BaseRepresentation
bin1100000010010010000000…
…1000000101101000010101
31201212002112202010202020201
43000210200020011220111
53213303331301330401
644051150453300501
72534035222340305
oct300444010055025
951762482122221
1013233333230101
114242252686046
121598860634731
1374cb89ab7c8a
1433a6d50db605
1517e36919db01
hexc0920205a15

13233333230101 has 2 divisors, whose sum is σ = 13233333230102. Its totient is φ = 13233333230100.

The previous prime is 13233333230081. The next prime is 13233333230123. The reversal of 13233333230101 is 10103233333231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7546014494001 + 5687318736100 = 2747001^2 + 2384810^2 .

It is a cyclic number.

It is not a de Polignac number, because 13233333230101 - 227 = 13233199012373 is a prime.

It is a super-2 number, since 2×132333332301012 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13233333230101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13233333230401) 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, 6616666615050 + 6616666615051.

It is an arithmetic number, because the mean of its divisors is an integer number (6616666615051).

Almost surely, 213233333230101 is an apocalyptic number.

It is an amenable number.

13233333230101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13233333230101 is an equidigital number, since it uses as much as digits as its factorization.

13233333230101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 28.

Adding to 13233333230101 its reverse (10103233333231), we get a palindrome (23336566563332).

The spelling of 13233333230101 in words is "thirteen trillion, two hundred thirty-three billion, three hundred thirty-three million, two hundred thirty thousand, one hundred one".