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212304242412 = 223267494317807
BaseRepresentation
bin1100010110111001010…
…0011010011011101100
3202021222211212221222100
43011232110122123230
511434244341224122
6241310424415100
721224045166603
oct3055624323354
9667884787870
10212304242412
1182046234689
1235190317490
13170355087a2
14a3c0298a3a
1557c8790aac
hex316e51a6ec

212304242412 has 72 divisors (see below), whose sum is σ = 544808549376. Its totient is φ = 69693823584.

The previous prime is 212304242407. The next prime is 212304242417. The reversal of 212304242412 is 214242403212.

It is a happy number.

212304242412 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 0 + 4 + 242 + 412 = 666.

It is an interprime number because it is at equal distance from previous prime (212304242407) and next prime (212304242417).

It is a super-2 number, since 2×2123042424122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212304242417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11913613 + ... + 11931419.

It is an arithmetic number, because the mean of its divisors is an integer number (7566785408).

Almost surely, 2212304242412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212304242412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272404274688).

212304242412 is an abundant number, since it is smaller than the sum of its proper divisors (332504306964).

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

212304242412 is a wasteful number, since it uses less digits than its factorization.

212304242412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22827 (or 22822 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 212304242412 its reverse (214242403212), we get a palindrome (426546645624).

The spelling of 212304242412 in words is "two hundred twelve billion, three hundred four million, two hundred forty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 2412 4943 9886 14829 17807 19772 29658 35614 44487 53421 59316 71228 88974 106842 160263 177948 213684 320526 331181 641052 662362 993543 1193069 1324724 1987086 2386138 2980629 3579207 3974172 4772276 5961258 7158414 10737621 11922516 14316828 21475242 42950484 88020001 176040002 264060003 352080004 528120006 792180009 1056240012 1584360018 3168720036 5897340067 11794680134 17692020201 23589360268 35384040402 53076060603 70768080804 106152121206 212304242412