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212434413132 = 22318919935719
BaseRepresentation
bin1100010111011000010…
…0111110011001001100
3202022022220211022122010
43011312010332121030
511440031202210012
6241331354421220
721230215501224
oct3056604763114
9668286738563
10212434413132
1182102762897
1235207a31810
1317056483b96
14a3d36a1084
1557d4e04c3c
hex317613e64c

212434413132 has 24 divisors (see below), whose sum is σ = 495707027200. Its totient is φ = 70807652496.

The previous prime is 212434413131. The next prime is 212434413179. The reversal of 212434413132 is 231314434212.

212434413132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 212434413132.

It is not an unprimeable number, because it can be changed into a prime (212434413131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240832 + ... + 694887.

Almost surely, 2212434413132 is an apocalyptic number.

It is an amenable number.

212434413132 is an abundant number, since it is smaller than the sum of its proper divisors (283272614068).

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

212434413132 is a wasteful number, since it uses less digits than its factorization.

212434413132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954645 (or 954643 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 212434413132 its reverse (231314434212), we get a palindrome (443748847344).

The spelling of 212434413132 in words is "two hundred twelve billion, four hundred thirty-four million, four hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 18919 37838 56757 75676 113514 227028 935719 1871438 2807157 3742876 5614314 11228628 17702867761 35405735522 53108603283 70811471044 106217206566 212434413132