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1311193 = 13172349
BaseRepresentation
bin101000000000111011001
32110121121201
411000013121
5313424233
644034201
714100502
oct5000731
92417551
101311193
11816134
12532961
1336ba70
14261ba9
151ad77d
hex1401d9

1311193 has 12 divisors (see below), whose sum is σ = 1504300. Its totient is φ = 1135872.

The previous prime is 1311181. The next prime is 1311217. The reversal of 1311193 is 3911131.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 63504 + 1247689 = 252^2 + 1117^2 .

It is not a de Polignac number, because 1311193 - 29 = 1310681 is a prime.

It is a Duffinian number.

1311193 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 1311193.

It is not an unprimeable number, because it can be changed into a prime (1311103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3583 + ... + 3931.

21311193 is an apocalyptic number.

1311193 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1311193 is a deficient number, since it is larger than the sum of its proper divisors (193107).

1311193 is a wasteful number, since it uses less digits than its factorization.

1311193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 379 counting only the distinct ones).

The product of its digits is 81, while the sum is 19.

The square root of 1311193 is about 1145.0733600953. The cubic root of 1311193 is about 109.4516233697.

The spelling of 1311193 in words is "one million, three hundred eleven thousand, one hundred ninety-three".

Divisors: 1 13 17 221 289 349 3757 4537 5933 77129 100861 1311193