Search a number
-
+
33303230432401 is a prime number
BaseRepresentation
bin1111001001010000000110…
…01110000100010010010001
311100220202110101112000211211
413210220003032010102101
513331120003442314101
6154455143131140121
710005036044655136
oct744500316042221
9140822411460754
1033303230432401
11a67a903402776
12389a4805a4641
1315776341332c7
14831c5645258d
153cb4605dbc51
hex1e4a03384491

33303230432401 has 2 divisors, whose sum is σ = 33303230432402. Its totient is φ = 33303230432400.

The previous prime is 33303230432317. The next prime is 33303230432449. The reversal of 33303230432401 is 10423403230333.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25132665536001 + 8170564896400 = 5013249^2 + 2858420^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33303230432401 is a prime.

It is a super-2 number, since 2×333032304324012 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33303230433401) 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, 16651615216200 + 16651615216201.

It is an arithmetic number, because the mean of its divisors is an integer number (16651615216201).

Almost surely, 233303230432401 is an apocalyptic number.

It is an amenable number.

33303230432401 is a deficient number, since it is larger than the sum of its proper divisors (1).

33303230432401 is an equidigital number, since it uses as much as digits as its factorization.

33303230432401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 31.

Adding to 33303230432401 its reverse (10423403230333), we get a palindrome (43726633662734).

The spelling of 33303230432401 in words is "thirty-three trillion, three hundred three billion, two hundred thirty million, four hundred thirty-two thousand, four hundred one".