Search a number
-
+
33102133120333 is a prime number
BaseRepresentation
bin1111000011011001100001…
…11000101100110101001101
311100012112101120110010011201
413201230300320230311031
513314321132034322313
6154222524321545501
76654356501011444
oct741546070546515
9140175346403151
1033102133120333
11a6025991a27a2
1238674b94a5291
131561696694a64
1482621a731d5b
153c60e0b630dd
hex1e1b30e2cd4d

33102133120333 has 2 divisors, whose sum is σ = 33102133120334. Its totient is φ = 33102133120332.

The previous prime is 33102133120291. The next prime is 33102133120363. The reversal of 33102133120333 is 33302133120133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31490256577924 + 1611876542409 = 5611618^2 + 1269597^2 .

It is a cyclic number.

It is not a de Polignac number, because 33102133120333 - 29 = 33102133119821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33102133120363) 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, 16551066560166 + 16551066560167.

It is an arithmetic number, because the mean of its divisors is an integer number (16551066560167).

Almost surely, 233102133120333 is an apocalyptic number.

It is an amenable number.

33102133120333 is a deficient number, since it is larger than the sum of its proper divisors (1).

33102133120333 is an equidigital number, since it uses as much as digits as its factorization.

33102133120333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 28.

Adding to 33102133120333 its reverse (33302133120133), we get a palindrome (66404266240466).

The spelling of 33102133120333 in words is "thirty-three trillion, one hundred two billion, one hundred thirty-three million, one hundred twenty thousand, three hundred thirty-three".