Search a number
-
+
13121212212 = 2232364478117
BaseRepresentation
bin11000011100001010…
…11100111100110100
31020212102212122100200
430032011130330310
5203333012242322
610010001040500
7643104315003
oct141605347464
936772778320
1013121212212
115623644a39
122662326130
1313115315c4
148c68bcc3a
1551bde68ac
hex30e15cf34

13121212212 has 18 divisors (see below), whose sum is σ = 33167508738. Its totient is φ = 4373737392.

The previous prime is 13121212199. The next prime is 13121212229. The reversal of 13121212212 is 21221212131.

13121212212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12922232976 + 198979236 = 113676^2 + 14106^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 182239023 + ... + 182239094.

Almost surely, 213121212212 is an apocalyptic number.

13121212212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13121212212 is an abundant number, since it is smaller than the sum of its proper divisors (20046296526).

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

13121212212 is a wasteful number, since it uses less digits than its factorization.

13121212212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364478127 (or 364478122 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 13121212212 its reverse (21221212131), we get a palindrome (34342424343).

The spelling of 13121212212 in words is "thirteen billion, one hundred twenty-one million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 364478117 728956234 1093434351 1457912468 2186868702 3280303053 4373737404 6560606106 13121212212