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12013105 = 513296373
BaseRepresentation
bin101101110100…
…111000110001
3211121022212211
4231310320301
511033404410
61105252121
7204052426
oct55647061
924538784
1012013105
116865695
124034041
132647c60
141849d4d
1510c468a
hexb74e31

12013105 has 16 divisors (see below), whose sum is σ = 16062480. Its totient is φ = 8563968.

The previous prime is 12013103. The next prime is 12013109. The reversal of 12013105 is 50131021.

It can be written as a sum of positive squares in 8 ways, for example, as 69169 + 11943936 = 263^2 + 3456^2 .

It is a cyclic number.

It is not a de Polignac number, because 12013105 - 21 = 12013103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (12013103) 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, 1302 + ... + 5071.

It is an arithmetic number, because the mean of its divisors is an integer number (1003905).

Almost surely, 212013105 is an apocalyptic number.

It is an amenable number.

12013105 is a deficient number, since it is larger than the sum of its proper divisors (4049375).

12013105 is a wasteful number, since it uses less digits than its factorization.

12013105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6420.

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 12013105 is about 3465.9926428081. The cubic root of 12013105 is about 229.0261597468.

Adding to 12013105 its reverse (50131021), we get a palindrome (62144126).

It can be divided in two parts, 120 and 13105, that added together give a square (13225 = 1152).

The spelling of 12013105 in words is "twelve million, thirteen thousand, one hundred five".

Divisors: 1 5 13 29 65 145 377 1885 6373 31865 82849 184817 414245 924085 2402621 12013105