Search a number
-
+
12132021213 = 3313311114973
BaseRepresentation
bin10110100110001111…
…11111001111011101
31011022111112112102000
423103013333033131
5144321244134323
65323503152513
7606433323144
oct132307771735
934274475360
1012132021213
115166234114
122426ba5739
1311b460a2a0
1483138675b
154b014ce43
hex2d31ff3dd

12132021213 has 32 divisors (see below), whose sum is σ = 19980334080. Its totient is φ = 7225018560.

The previous prime is 12132021199. The next prime is 12132021221. The reversal of 12132021213 is 31212023121.

12132021213 is a `hidden beast` number, since 121 + 320 + 212 + 13 = 666.

It is not a de Polignac number, because 12132021213 - 24 = 12132021197 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132021283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 546606 + ... + 568367.

It is an arithmetic number, because the mean of its divisors is an integer number (624385440).

Almost surely, 212132021213 is an apocalyptic number.

12132021213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12132021213 is a deficient number, since it is larger than the sum of its proper divisors (7848312867).

12132021213 is a wasteful number, since it uses less digits than its factorization.

12132021213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115026 (or 1115020 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12132021213 its reverse (31212023121), we get a palindrome (43344044334).

The spelling of 12132021213 in words is "twelve billion, one hundred thirty-two million, twenty-one thousand, two hundred thirteen".

Divisors: 1 3 9 13 27 31 39 93 117 279 351 403 837 1209 3627 10881 1114973 3344919 10034757 14494649 30104271 34564163 43483947 103692489 130451841 311077467 391355523 449334119 933232401 1348002357 4044007071 12132021213