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233133381193 is a prime number
BaseRepresentation
bin1101100100011111010…
…1010001011001001001
3211021202110120211210211
43121013311101121021
512304424121144233
6255033333241121
722562156020666
oct3310765213111
9737673524724
10233133381193
118a964796969
1239223a931a1
1318ca48c928b
14b3d8732a6d
1560e71dc5cd
hex3647d51649

233133381193 has 2 divisors, whose sum is σ = 233133381194. Its totient is φ = 233133381192.

The previous prime is 233133381163. The next prime is 233133381197. The reversal of 233133381193 is 391183331332.

233133381193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 233015702089 + 117679104 = 482717^2 + 10848^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-233133381193 is a prime.

It is a super-2 number, since 2×2331333811932 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (233133381197) 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, 116566690596 + 116566690597.

It is an arithmetic number, because the mean of its divisors is an integer number (116566690597).

Almost surely, 2233133381193 is an apocalyptic number.

It is an amenable number.

233133381193 is a deficient number, since it is larger than the sum of its proper divisors (1).

233133381193 is an equidigital number, since it uses as much as digits as its factorization.

233133381193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 104976, while the sum is 40.

The spelling of 233133381193 in words is "two hundred thirty-three billion, one hundred thirty-three million, three hundred eighty-one thousand, one hundred ninety-three".