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103212009 = 3319201193
BaseRepresentation
bin1100010011011…
…10001111101001
321012012201021000
412021232033221
5202410241014
614124105213
72362200435
oct611561751
9235181230
10103212009
115329578a
122a695209
13184c97c4
14d9c99c5
1590db509
hex626e3e9

103212009 has 16 divisors (see below), whose sum is σ = 160955200. Its totient is φ = 65186208.

The previous prime is 103211963. The next prime is 103212019. The reversal of 103212009 is 900212301.

It is a happy number.

It is not a de Polignac number, because 103212009 - 28 = 103211753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103211982 and 103212000.

It is not an unprimeable number, because it can be changed into a prime (103212019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100084 + ... + 101109.

It is an arithmetic number, because the mean of its divisors is an integer number (10059700).

Almost surely, 2103212009 is an apocalyptic number.

103212009 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

103212009 is a deficient number, since it is larger than the sum of its proper divisors (57743191).

103212009 is a wasteful number, since it uses less digits than its factorization.

103212009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201221 (or 201215 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 103212009 is about 10159.3311295577. The cubic root of 103212009 is about 469.0762132485.

It can be divided in two parts, 1032 and 12009, that added together give a triangular number (13041 = T161).

The spelling of 103212009 in words is "one hundred three million, two hundred twelve thousand, nine".

Divisors: 1 3 9 19 27 57 171 513 201193 603579 1810737 3822667 5432211 11468001 34404003 103212009