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1011405313 is a prime number
BaseRepresentation
bin111100010010001…
…101001000000001
32121111010201021001
4330102031020001
54032404432223
6244205532001
734030542352
oct7422151001
92544121231
101011405313
11479a03866
12242874001
131317015a9
1498479d29
155dbd59ad
hex3c48d201

1011405313 has 2 divisors, whose sum is σ = 1011405314. Its totient is φ = 1011405312.

The previous prime is 1011405217. The next prime is 1011405319. The reversal of 1011405313 is 3135041101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1006665984 + 4739329 = 31728^2 + 2177^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1011405313 is a prime.

It is not a weakly prime, because it can be changed into another prime (1011405319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505702656 + 505702657.

It is an arithmetic number, because the mean of its divisors is an integer number (505702657).

Almost surely, 21011405313 is an apocalyptic number.

It is an amenable number.

1011405313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011405313 is an equidigital number, since it uses as much as digits as its factorization.

1011405313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 1011405313 is about 31802.5991547861. The cubic root of 1011405313 is about 1003.7874084280.

Adding to 1011405313 its reverse (3135041101), we get a palindrome (4146446414).

The spelling of 1011405313 in words is "one billion, eleven million, four hundred five thousand, three hundred thirteen".