Search a number
-
+
2431312422233 is a prime number
BaseRepresentation
bin100011011000010101100…
…000110110010101011001
322121102122100021002011212
4203120111200312111121
5304313311440002413
65100532435032505
7340441121413562
oct43302540662531
98542570232155
102431312422233
11858128529492
1233325573b735
1314836c1319b6
14859674d3169
154339d845ca8
hex23615836559

2431312422233 has 2 divisors, whose sum is σ = 2431312422234. Its totient is φ = 2431312422232.

The previous prime is 2431312422127. The next prime is 2431312422247. The reversal of 2431312422233 is 3322242131342.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1725053708569 + 706258713664 = 1313413^2 + 840392^2 .

It is a cyclic number.

It is not a de Polignac number, because 2431312422233 - 214 = 2431312405849 is a prime.

It is a super-2 number, since 2×24313124222332 (a number of 26 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 2431312422233.

It is not a weakly prime, because it can be changed into another prime (2431312422263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1215656211116 + 1215656211117.

It is an arithmetic number, because the mean of its divisors is an integer number (1215656211117).

Almost surely, 22431312422233 is an apocalyptic number.

It is an amenable number.

2431312422233 is a deficient number, since it is larger than the sum of its proper divisors (1).

2431312422233 is an equidigital number, since it uses as much as digits as its factorization.

2431312422233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 41472, while the sum is 32.

Adding to 2431312422233 its reverse (3322242131342), we get a palindrome (5753554553575).

The spelling of 2431312422233 in words is "two trillion, four hundred thirty-one billion, three hundred twelve million, four hundred twenty-two thousand, two hundred thirty-three".