Search a number
-
+
33021267953 is a prime number
BaseRepresentation
bin11110110000001110…
…001000111111110001
310011020022100012212012
4132300032020333301
51020111421033303
623100400212305
72246204101142
oct366016107761
9104208305765
1033021267953
11130057103a3
12649690a095
1331632b4c0b
1418537c9ac9
15cd3ebe5d8
hex7b0388ff1

33021267953 has 2 divisors, whose sum is σ = 33021267954. Its totient is φ = 33021267952.

The previous prime is 33021267899. The next prime is 33021267989. The reversal of 33021267953 is 35976212033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28741099024 + 4280168929 = 169532^2 + 65423^2 .

It is an emirp because it is prime and its reverse (35976212033) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33021267953 - 232 = 28726300657 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 33021267953.

It is not a weakly prime, because it can be changed into another prime (33021267353) 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, 16510633976 + 16510633977.

It is an arithmetic number, because the mean of its divisors is an integer number (16510633977).

Almost surely, 233021267953 is an apocalyptic number.

It is an amenable number.

33021267953 is a deficient number, since it is larger than the sum of its proper divisors (1).

33021267953 is an equidigital number, since it uses as much as digits as its factorization.

33021267953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 204120, while the sum is 41.

Adding to 33021267953 its reverse (35976212033), we get a palindrome (68997479986).

The spelling of 33021267953 in words is "thirty-three billion, twenty-one million, two hundred sixty-seven thousand, nine hundred fifty-three".