Search a number
-
+
233143202102313 = 379239791312941
BaseRepresentation
bin110101000000101011100001…
…101111100011110000101001
31010120111021100121121121211210
4311000223201233203300221
5221024304234214233223
62143504301454143333
7100052016614034516
oct6500534157436051
91116437317547753
10233143202102313
1168317527613068
122219486a7b1b49
13a0124043166b9
1441802968aa30d
151be48ca494893
hexd40ae1be3c29

233143202102313 has 24 divisors (see below), whose sum is σ = 314851236610176. Its totient is φ = 153457001162400.

The previous prime is 233143202102281. The next prime is 233143202102339. The reversal of 233143202102313 is 313201202341332.

It is not a de Polignac number, because 233143202102313 - 25 = 233143202102281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (233143202102413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 744850423 + ... + 745163363.

It is an arithmetic number, because the mean of its divisors is an integer number (13118801525424).

Almost surely, 2233143202102313 is an apocalyptic number.

It is an amenable number.

233143202102313 is a deficient number, since it is larger than the sum of its proper divisors (81708034507863).

233143202102313 is an equidigital number, since it uses as much as digits as its factorization.

233143202102313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352893 (or 352814 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 233143202102313 its reverse (313201202341332), we get a palindrome (546344404443645).

The spelling of 233143202102313 in words is "two hundred thirty-three trillion, one hundred forty-three billion, two hundred two million, one hundred two thousand, three hundred thirteen".

Divisors: 1 3 79 237 6241 18723 39791 119373 312941 938823 3143489 9430467 24722339 74167017 248335631 745006893 1953064781 5859194343 12452235331 37356705993 983726591149 2951179773447 77714400700771 233143202102313