Search a number
-
+
901074401 is a prime number
BaseRepresentation
bin110101101101010…
…100110111100001
32022210112022200222
4311231110313201
53321133340101
6225225052425
731221002033
oct6555246741
92283468628
10901074401
114226a6597
12211927115
131148b1726
1487959c53
155419001b
hex35b54de1

901074401 has 2 divisors, whose sum is σ = 901074402. Its totient is φ = 901074400.

The previous prime is 901074389. The next prime is 901074403. The reversal of 901074401 is 104470109.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 489958225 + 411116176 = 22135^2 + 20276^2 .

It is a cyclic number.

It is not a de Polignac number, because 901074401 - 26 = 901074337 is a prime.

It is a super-2 number, since 2×9010744012 = 1623870152275017602, which contains 22 as substring.

Together with 901074403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (901074403) 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, 450537200 + 450537201.

It is an arithmetic number, because the mean of its divisors is an integer number (450537201).

Almost surely, 2901074401 is an apocalyptic number.

It is an amenable number.

901074401 is a deficient number, since it is larger than the sum of its proper divisors (1).

901074401 is an equidigital number, since it uses as much as digits as its factorization.

901074401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 901074401 is about 30017.9013423657. The cubic root of 901074401 is about 965.8734254411.

The spelling of 901074401 in words is "nine hundred one million, seventy-four thousand, four hundred one".