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203116 = 221729103
BaseRepresentation
bin110001100101101100
3101022121211
4301211230
522444431
64204204
71504114
oct614554
9338554
10203116
11129671
1299664
13715b4
1454044
15402b1
hex3196c

203116 has 24 divisors (see below), whose sum is σ = 393120. Its totient is φ = 91392.

The previous prime is 203057. The next prime is 203117. The reversal of 203116 is 611302.

203116 = T53 + T54 + ... + T110.

203116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2031162 = 82512218912, which contains 22 as substring.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 203096 and 203105.

It is not an unprimeable number, because it can be changed into a prime (203117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1921 + ... + 2023.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2203116 is an apocalyptic number.

It is an amenable number.

203116 is a deficient number, since it is larger than the sum of its proper divisors (190004).

203116 is a wasteful number, since it uses less digits than its factorization.

203116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 203116 is about 450.6839247189. The cubic root of 203116 is about 58.7824989951.

Adding to 203116 its reverse (611302), we get a palindrome (814418).

It can be divided in two parts, 20 and 3116, that added together give a square (3136 = 562).

The spelling of 203116 in words is "two hundred three thousand, one hundred sixteen".

Divisors: 1 2 4 17 29 34 58 68 103 116 206 412 493 986 1751 1972 2987 3502 5974 7004 11948 50779 101558 203116