Search a number
-
+
332311101103213 is a prime number
BaseRepresentation
bin100101110001111000011010…
…1001000101101110001101101
31121120121122001000002200211021
41023203300311020231301231
5322024041113340300323
63134433340132454141
7126665453605341301
oct11343606510556155
91546548030080737
10332311101103213
119698038a270821
123133014b47a351
1311356a57a7034b
145c0bd2bc81d01
15286429368505d
hex12e3c3522dc6d

332311101103213 has 2 divisors, whose sum is σ = 332311101103214. Its totient is φ = 332311101103212.

The previous prime is 332311101103187. The next prime is 332311101103231. The reversal of 332311101103213 is 312301101113233.

Together with next prime (332311101103231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 300861582911044 + 31449518192169 = 17345362^2 + 5607987^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-332311101103213 is a prime.

It is a super-2 number, since 2×3323111011032132 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (332311101103253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166155550551606 + 166155550551607.

It is an arithmetic number, because the mean of its divisors is an integer number (166155550551607).

Almost surely, 2332311101103213 is an apocalyptic number.

It is an amenable number.

332311101103213 is a deficient number, since it is larger than the sum of its proper divisors (1).

332311101103213 is an equidigital number, since it uses as much as digits as its factorization.

332311101103213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 332311101103213 its reverse (312301101113233), we get a palindrome (644612202216446).

The spelling of 332311101103213 in words is "three hundred thirty-two trillion, three hundred eleven billion, one hundred one million, one hundred three thousand, two hundred thirteen".