Search a number
-
+
33221334401 is a prime number
BaseRepresentation
bin11110111100001001…
…010101010110000001
310011202020210122102122
4132330021111112001
51021014130200101
623132304254025
72254153453223
oct367411252601
9104666718378
1033221334401
11130a8639272
126531911315
133195893528
1418721c8413
15ce683d51b
hex7bc255581

33221334401 has 2 divisors, whose sum is σ = 33221334402. Its totient is φ = 33221334400.

The previous prime is 33221334359. The next prime is 33221334467. The reversal of 33221334401 is 10443312233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33069058801 + 152275600 = 181849^2 + 12340^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33221334401 is a prime.

It is a super-2 number, since 2×332213344012 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33221339401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16610667200 + 16610667201.

It is an arithmetic number, because the mean of its divisors is an integer number (16610667201).

Almost surely, 233221334401 is an apocalyptic number.

It is an amenable number.

33221334401 is a deficient number, since it is larger than the sum of its proper divisors (1).

33221334401 is an equidigital number, since it uses as much as digits as its factorization.

33221334401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 33221334401 its reverse (10443312233), we get a palindrome (43664646634).

The spelling of 33221334401 in words is "thirty-three billion, two hundred twenty-one million, three hundred thirty-four thousand, four hundred one".