Search a number
-
+
33221302057 is a prime number
BaseRepresentation
bin11110111100001001…
…001101011100101001
310011202020202000001201
4132330021031130221
51021014123131212
623132303444201
72254153260016
oct367411153451
9104666660051
1033221302057
11130a8616a39
1265318b6661
1331958818a8
1418721ba70d
15ce6833b57
hex7bc24d729

33221302057 has 2 divisors, whose sum is σ = 33221302058. Its totient is φ = 33221302056.

The previous prime is 33221302027. The next prime is 33221302133. The reversal of 33221302057 is 75020312233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17249144896 + 15972157161 = 131336^2 + 126381^2 .

It is a cyclic number.

It is not a de Polignac number, because 33221302057 - 223 = 33212913449 is a prime.

It is a super-4 number, since 4×332213020574 (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (33221302027) 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, 16610651028 + 16610651029.

It is an arithmetic number, because the mean of its divisors is an integer number (16610651029).

Almost surely, 233221302057 is an apocalyptic number.

It is an amenable number.

33221302057 is a deficient number, since it is larger than the sum of its proper divisors (1).

33221302057 is an equidigital number, since it uses as much as digits as its factorization.

33221302057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 28.

The spelling of 33221302057 in words is "thirty-three billion, two hundred twenty-one million, three hundred two thousand, fifty-seven".