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13202123 = 114173401
BaseRepresentation
bin110010010111…
…001011001011
3220211201220112
4302113023023
511334431443
61150544535
7220134104
oct62271313
926751815
1013202123
1174a7a50
12450814b
13297320c
141a793ab
15125bb18
hexc972cb

13202123 has 16 divisors (see below), whose sum is σ = 14992992. Its totient is φ = 11520000.

The previous prime is 13202117. The next prime is 13202143. The reversal of 13202123 is 32120231.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 13202123 - 24 = 13202107 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13202098 and 13202107.

It is not an unprimeable number, because it can be changed into a prime (13202113) 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, 32723 + ... + 33123.

It is an arithmetic number, because the mean of its divisors is an integer number (937062).

Almost surely, 213202123 is an apocalyptic number.

13202123 is a deficient number, since it is larger than the sum of its proper divisors (1790869).

13202123 is a wasteful number, since it uses less digits than its factorization.

13202123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 13202123 is about 3633.4725814295. The cubic root of 13202123 is about 236.3458194971.

Adding to 13202123 its reverse (32120231), we get a palindrome (45322354).

It can be divided in two parts, 1320 and 2123, that added together give a palindrome (3443).

The spelling of 13202123 in words is "thirteen million, two hundred two thousand, one hundred twenty-three".

Divisors: 1 11 41 73 401 451 803 2993 4411 16441 29273 32923 180851 322003 1200193 13202123