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212443430420 = 2251319391710979
BaseRepresentation
bin1100010111011010011…
…1010111111000010100
3202022100112210110000202
43011312213113320110
511440041004233140
6241332320000032
721230355235544
oct3056647277024
9668315713022
10212443430420
11821078616a1
123520aa60018
13170582c0360
14a3d496b324
1557d5ad6915
hex31769d7e14

212443430420 has 96 divisors (see below), whose sum is σ = 505910966400. Its totient is φ = 74286457344.

The previous prime is 212443430377. The next prime is 212443430471. The reversal of 212443430420 is 24034344212.

It is a super-2 number, since 2×2124434304202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19344491 + ... + 19355469.

It is an arithmetic number, because the mean of its divisors is an integer number (5269905900).

Almost surely, 2212443430420 is an apocalyptic number.

212443430420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212443430420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252955483200).

212443430420 is an abundant number, since it is smaller than the sum of its proper divisors (293467535980).

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

212443430420 is a wasteful number, since it uses less digits than its factorization.

212443430420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14937 (or 14935 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 212443430420 its reverse (24034344212), we get a palindrome (236477774632).

The spelling of 212443430420 in words is "two hundred twelve billion, four hundred forty-three million, four hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 380 494 988 1235 2470 3917 4940 7834 10979 15668 19585 21958 39170 43916 50921 54895 74423 78340 101842 109790 142727 148846 203684 208601 219580 254605 285454 297692 372115 417202 509210 570908 713635 744230 834404 967499 1018420 1043005 1427270 1488460 1934998 2086010 2711813 2854540 3869996 4172020 4837495 5423626 9674990 10847252 13559065 19349980 27118130 43004743 54236260 86009486 172018972 215023715 430047430 559061659 817090117 860094860 1118123318 1634180234 2236246636 2795308295 3268360468 4085450585 5590616590 8170901170 10622171521 11181233180 16341802340 21244343042 42488686084 53110857605 106221715210 212443430420