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33102213101 is a prime number
BaseRepresentation
bin11110110101000010…
…111010111111101101
310011102221122122201122
4132311002322333231
51020243131304401
623112411150325
72251206111626
oct366502727755
9104387578648
1033102213101
1113047377711
1264b9a453a5
133176cb6559
14186045aa4d
15cdb15d21b
hex7b50bafed

33102213101 has 2 divisors, whose sum is σ = 33102213102. Its totient is φ = 33102213100.

The previous prime is 33102213073. The next prime is 33102213139. The reversal of 33102213101 is 10131220133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26732577001 + 6369636100 = 163501^2 + 79810^2 .

It is an emirp because it is prime and its reverse (10131220133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33102213101 - 214 = 33102196717 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 33102213101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33102213181) 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, 16551106550 + 16551106551.

It is an arithmetic number, because the mean of its divisors is an integer number (16551106551).

Almost surely, 233102213101 is an apocalyptic number.

It is an amenable number.

33102213101 is a deficient number, since it is larger than the sum of its proper divisors (1).

33102213101 is an equidigital number, since it uses as much as digits as its factorization.

33102213101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 33102213101 its reverse (10131220133), we get a palindrome (43233433234).

The spelling of 33102213101 in words is "thirty-three billion, one hundred two million, two hundred thirteen thousand, one hundred one".