Search a number
-
+
13135212 = 22323171151
BaseRepresentation
bin110010000110…
…110101101100
3220201100010100
4302012311230
511330311322
61145311100
7216435036
oct62066554
926640110
1013135212
117461752
124495490
13294b91c
141a5cc56
151246dac
hexc86d6c

13135212 has 36 divisors (see below), whose sum is σ = 33336576. Its totient is φ = 4360800.

The previous prime is 13135207. The next prime is 13135217. The reversal of 13135212 is 21253131.

13135212 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 an interprime number because it is at equal distance from previous prime (13135207) and next prime (13135217).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13135217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10837 + ... + 11987.

It is an arithmetic number, because the mean of its divisors is an integer number (926016).

Almost surely, 213135212 is an apocalyptic number.

13135212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13135212 is an abundant number, since it is smaller than the sum of its proper divisors (20201364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13135212 is a wasteful number, since it uses less digits than its factorization.

13135212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1473 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 13135212 is about 3624.2533024059. The cubic root of 13135212 is about 235.9458604145.

Adding to 13135212 its reverse (21253131), we get a palindrome (34388343).

The spelling of 13135212 in words is "thirteen million, one hundred thirty-five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 317 634 951 1151 1268 1902 2302 2853 3453 3804 4604 5706 6906 10359 11412 13812 20718 41436 364867 729734 1094601 1459468 2189202 3283803 4378404 6567606 13135212