Search a number
-
+
33252101 is a prime number
BaseRepresentation
bin111111011011…
…0001100000101
32022120101022022
41332312030011
532003031401
63144412525
7552431621
oct176661405
968511268
1033252101
1117851883
12b177145
136b732cc
1445b8181
152dbc71b
hex1fb6305

33252101 has 2 divisors, whose sum is σ = 33252102. Its totient is φ = 33252100.

The previous prime is 33252097. The next prime is 33252103. The reversal of 33252101 is 10125233.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31651876 + 1600225 = 5626^2 + 1265^2 .

It is a cyclic number.

It is not a de Polignac number, because 33252101 - 22 = 33252097 is a prime.

It is a super-2 number, since 2×332521012 = 2211404441828402, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 33252103, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is equal to p2046212 and since 33252101 and 2046212 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 33252101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33252103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16626050 + 16626051.

It is an arithmetic number, because the mean of its divisors is an integer number (16626051).

Almost surely, 233252101 is an apocalyptic number.

It is an amenable number.

33252101 is a deficient number, since it is larger than the sum of its proper divisors (1).

33252101 is an equidigital number, since it uses as much as digits as its factorization.

33252101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 33252101 is about 5766.4634742622. The cubic root of 33252101 is about 321.5681523633.

Adding to 33252101 its reverse (10125233), we get a palindrome (43377334).

The spelling of 33252101 in words is "thirty-three million, two hundred fifty-two thousand, one hundred one".