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13113819 = 34198521
BaseRepresentation
bin110010000001…
…100111011011
3220200020210000
4302001213123
511324120234
61145024043
7216315465
oct62014733
926606700
1013113819
117447674
124485023
132941c74
141a55135
151240899
hexc819db

13113819 has 20 divisors (see below), whose sum is σ = 20623240. Its totient is φ = 8281440.

The previous prime is 13113811. The next prime is 13113929. The reversal of 13113819 is 91831131.

It is a happy number.

13113819 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13113819 - 23 = 13113811 is a prime.

It is a super-2 number, since 2×131138192 = 343944497529522, 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 = 13113792 and 13113801.

It is not an unprimeable number, because it can be changed into a prime (13113811) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2722 + ... + 5799.

It is an arithmetic number, because the mean of its divisors is an integer number (1031162).

Almost surely, 213113819 is an apocalyptic number.

13113819 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

13113819 is a deficient number, since it is larger than the sum of its proper divisors (7509421).

13113819 is an equidigital number, since it uses as much as digits as its factorization.

13113819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8552 (or 8543 counting only the distinct ones).

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

The square root of 13113819 is about 3621.3007331620. The cubic root of 13113819 is about 235.8176977180.

It can be divided in two parts, 1311381 and 9, that added together give a triangular number (1311390 = T1619).

The spelling of 13113819 in words is "thirteen million, one hundred thirteen thousand, eight hundred nineteen".

Divisors: 1 3 9 19 27 57 81 171 513 1539 8521 25563 76689 161899 230067 485697 690201 1457091 4371273 13113819