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10233440401 is a prime number
BaseRepresentation
bin10011000011111010…
…11110100010010001
3222102012000122011011
421201331132202101
5131424230043101
64411242050521
7511410544132
oct114175364221
928365018134
1010233440401
114381568268
121b971a9a41
13c711826a2
146d116bc89
153ed620751
hex261f5e891

10233440401 has 2 divisors, whose sum is σ = 10233440402. Its totient is φ = 10233440400.

The previous prime is 10233440333. The next prime is 10233440407. The reversal of 10233440401 is 10404433201.

10233440401 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8226490000 + 2006950401 = 90700^2 + 44799^2 .

It is a cyclic number.

It is not a de Polignac number, because 10233440401 - 211 = 10233438353 is a prime.

It is not a weakly prime, because it can be changed into another prime (10233440407) 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, 5116720200 + 5116720201.

It is an arithmetic number, because the mean of its divisors is an integer number (5116720201).

Almost surely, 210233440401 is an apocalyptic number.

It is an amenable number.

10233440401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10233440401 is an equidigital number, since it uses as much as digits as its factorization.

10233440401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10233440401 its reverse (10404433201), we get a palindrome (20637873602).

The spelling of 10233440401 in words is "ten billion, two hundred thirty-three million, four hundred forty thousand, four hundred one".