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13121213211 = 321924038539
BaseRepresentation
bin11000011100001010…
…11101001100011011
31020212102212200201200
430032011131030123
5203333012310321
610010001045243
7643104320631
oct141605351433
936772780650
1013121213211
115623645767
122662326823
131311531bb2
148c68bd351
1551bde6d26
hex30e15d31b

13121213211 has 18 divisors (see below), whose sum is σ = 20002888620. Its totient is φ = 8287079976.

The previous prime is 13121213191. The next prime is 13121213219. The reversal of 13121213211 is 11231212131.

13121213211 is a `hidden beast` number, since 131 + 212 + 1 + 321 + 1 = 666.

13121213211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-13121213211 is a prime.

It is a super-2 number, since 2×131212132112 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13121213219) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 2016021 + ... + 2022518.

It is an arithmetic number, because the mean of its divisors is an integer number (1111271590).

Almost surely, 213121213211 is an apocalyptic number.

13121213211 is a deficient number, since it is larger than the sum of its proper divisors (6881675409).

13121213211 is a wasteful number, since it uses less digits than its factorization.

13121213211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4038583 (or 4038561 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 13121213211 its reverse (11231212131), we get a palindrome (24352425342).

The spelling of 13121213211 in words is "thirteen billion, one hundred twenty-one million, two hundred thirteen thousand, two hundred eleven".

Divisors: 1 3 9 19 57 171 361 1083 3249 4038539 12115617 36346851 76732241 230196723 690590169 1457912579 4373737737 13121213211