Search a number
-
+
33201112032313 is a prime number
BaseRepresentation
bin1111000110010001111000…
…11111010010010000111001
311100112222212120201210222121
413203020330133102100321
513322431334140013223
6154340214051321241
76664462335616111
oct743107437222071
9140488776653877
1033201112032313
11a6405702112a5
1238827212b0221
13156ab0b7928b4
1482ad29d16041
153c898540315d
hex1e323c7d2439

33201112032313 has 2 divisors, whose sum is σ = 33201112032314. Its totient is φ = 33201112032312.

The previous prime is 33201112032301. The next prime is 33201112032343. The reversal of 33201112032313 is 31323021110233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24306211397689 + 8894900634624 = 4930133^2 + 2982432^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33201112032313 is a prime.

It is a super-2 number, since 2×332011120323132 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33201112032343) 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 as a sum of consecutive naturals, namely, 16600556016156 + 16600556016157.

It is an arithmetic number, because the mean of its divisors is an integer number (16600556016157).

Almost surely, 233201112032313 is an apocalyptic number.

It is an amenable number.

33201112032313 is a deficient number, since it is larger than the sum of its proper divisors (1).

33201112032313 is an equidigital number, since it uses as much as digits as its factorization.

33201112032313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 33201112032313 its reverse (31323021110233), we get a palindrome (64524133142546).

The spelling of 33201112032313 in words is "thirty-three trillion, two hundred one billion, one hundred twelve million, thirty-two thousand, three hundred thirteen".