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1055810313 = 321743315937
BaseRepresentation
bin111110111011100…
…110001100001001
32201120200201110200
4332323212030021
54130241412223
6252433402413
735110145115
oct7673461411
92646621420
101055810313
114a1a82a08
12255709409
1313a97b13c
14a0318745
1562a57a43
hex3eee6309

1055810313 has 24 divisors (see below), whose sum is σ = 1618599528. Its totient is φ = 660897792.

The previous prime is 1055810291. The next prime is 1055810339. The reversal of 1055810313 is 3130185501.

1055810313 is a `hidden beast` number, since 1 + 0 + 558 + 103 + 1 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 177102864 + 878707449 = 13308^2 + 29643^2 .

It is not a de Polignac number, because 1055810313 - 28 = 1055810057 is a prime.

It is a super-2 number, since 2×10558103132 = 2229470834074315938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1055810383) 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 in 23 ways as a sum of consecutive naturals, for example, 58281 + ... + 74217.

It is an arithmetic number, because the mean of its divisors is an integer number (67441647).

Almost surely, 21055810313 is an apocalyptic number.

It is an amenable number.

1055810313 is a deficient number, since it is larger than the sum of its proper divisors (562789215).

1055810313 is a wasteful number, since it uses less digits than its factorization.

1055810313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16393 (or 16390 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1055810313 is about 32493.2348805101. The cubic root of 1055810313 is about 1018.2676968870.

Adding to 1055810313 its reverse (3130185501), we get a palindrome (4185995814).

The spelling of 1055810313 in words is "one billion, fifty-five million, eight hundred ten thousand, three hundred thirteen".

Divisors: 1 3 9 17 51 153 433 1299 3897 7361 15937 22083 47811 66249 143433 270929 812787 2438361 6900721 20702163 62106489 117312257 351936771 1055810313