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993108401 is a prime number
BaseRepresentation
bin111011001100011…
…010000110110001
32120012201010121122
4323030122012301
54013213432101
6242313432025
733416165525
oct7314320661
92505633548
10993108401
1146a64704a
1223870b615
1312a99640c
1495c75d85
155c2be51b
hex3b31a1b1

993108401 has 2 divisors, whose sum is σ = 993108402. Its totient is φ = 993108400.

The previous prime is 993108301. The next prime is 993108439. The reversal of 993108401 is 104801399.

993108401 is digitally balanced in base 2, because in such base 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., 987467776 + 5640625 = 31424^2 + 2375^2 .

It is a cyclic number.

It is not a de Polignac number, because 993108401 - 222 = 988914097 is a prime.

It is a super-2 number, since 2×9931084012 = 1972528592273553602, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (993108461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 496554200 + 496554201.

It is an arithmetic number, because the mean of its divisors is an integer number (496554201).

Almost surely, 2993108401 is an apocalyptic number.

It is an amenable number.

993108401 is a deficient number, since it is larger than the sum of its proper divisors (1).

993108401 is an equidigital number, since it uses as much as digits as its factorization.

993108401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 993108401 is about 31513.6224671173. The cubic root of 993108401 is about 997.6975029094.

The spelling of 993108401 in words is "nine hundred ninety-three million, one hundred eight thousand, four hundred one".