Search a number
-
+
33001322210009 is a prime number
BaseRepresentation
bin1111000000011101110000…
…00101100110001011011001
311022211220011212221021002022
413200032320011212023121
513311143201441210014
6154104333110144225
76644160346266056
oct740167005461331
9138756155837068
1033001322210009
11a57386705477a
12384ba64052075
13155501bb8242a
148213b5b0602d
153c3690648a8e
hex1e03b81662d9

33001322210009 has 2 divisors, whose sum is σ = 33001322210010. Its totient is φ = 33001322210008.

The previous prime is 33001322209993. The next prime is 33001322210069. The reversal of 33001322210009 is 90001222310033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21627754819225 + 11373567390784 = 4650565^2 + 3372472^2 .

It is a cyclic number.

It is not a de Polignac number, because 33001322210009 - 24 = 33001322209993 is a prime.

It is a super-4 number, since 4×330013222100094 (a number of 55 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33001322210009.

It is not a weakly prime, because it can be changed into another prime (33001322210069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16500661105004 + 16500661105005.

It is an arithmetic number, because the mean of its divisors is an integer number (16500661105005).

Almost surely, 233001322210009 is an apocalyptic number.

It is an amenable number.

33001322210009 is a deficient number, since it is larger than the sum of its proper divisors (1).

33001322210009 is an equidigital number, since it uses as much as digits as its factorization.

33001322210009 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 26.

The spelling of 33001322210009 in words is "thirty-three trillion, one billion, three hundred twenty-two million, two hundred ten thousand, nine".