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1013153441 is a prime number
BaseRepresentation
bin111100011000110…
…111111010100001
32121121102112020112
4330120313322201
54033331402231
6244311221105
734051443056
oct7430677241
92547375215
101013153441
1147a9981a3
12243377795
13131b941a1
14987b302d
155de2d92b
hex3c637ea1

1013153441 has 2 divisors, whose sum is σ = 1013153442. Its totient is φ = 1013153440.

The previous prime is 1013153413. The next prime is 1013153443. The reversal of 1013153441 is 1443513101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 956603041 + 56550400 = 30929^2 + 7520^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1013153441 is a prime.

It is a Sophie Germain prime.

Together with 1013153443, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1013153443) 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, 506576720 + 506576721.

It is an arithmetic number, because the mean of its divisors is an integer number (506576721).

Almost surely, 21013153441 is an apocalyptic number.

It is an amenable number.

1013153441 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013153441 is an equidigital number, since it uses as much as digits as its factorization.

1013153441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 1013153441 is about 31830.0713319967. The cubic root of 1013153441 is about 1004.3653959218.

Adding to 1013153441 its reverse (1443513101), we get a palindrome (2456666542).

The spelling of 1013153441 in words is "one billion, thirteen million, one hundred fifty-three thousand, four hundred forty-one".