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11318319 = 331922063
BaseRepresentation
bin101011001011…
…010000101111
3210022000211000
4223023100233
510344141234
61042331343
7165130005
oct53132057
923260730
1011318319
116430691
123959b53
13246393c
141708a75
15ed8899
hexacb42f

11318319 has 16 divisors (see below), whose sum is σ = 17651200. Its totient is φ = 7148088.

The previous prime is 11318299. The next prime is 11318327. The reversal of 11318319 is 91381311.

11318319 = T1082 + T1083 + ... + T1100.

It is a happy number.

It is not a de Polignac number, because 11318319 - 27 = 11318191 is a prime.

It is a super-2 number, since 2×113183192 = 256208689971522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11318292 and 11318301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11318389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10519 + ... + 11544.

It is an arithmetic number, because the mean of its divisors is an integer number (1103200).

Almost surely, 211318319 is an apocalyptic number.

11318319 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

11318319 is a deficient number, since it is larger than the sum of its proper divisors (6332881).

11318319 is a wasteful number, since it uses less digits than its factorization.

11318319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22091 (or 22085 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The square root of 11318319 is about 3364.2709462824. The cubic root of 11318319 is about 224.5229001628.

The spelling of 11318319 in words is "eleven million, three hundred eighteen thousand, three hundred nineteen".

Divisors: 1 3 9 19 27 57 171 513 22063 66189 198567 419197 595701 1257591 3772773 11318319