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212221131420 = 223571107465581
BaseRepresentation
bin1100010110100101011…
…1010111101010011100
3202021210001111111010110
43011221113113222130
511434112102201140
6241254255210020
721222015565524
oct3055127275234
9667701444113
10212221131420
1182003329111
1235168516910
131702122939c
14a3b3222684
1557c1325380
hex31695d7a9c

212221131420 has 96 divisors (see below), whose sum is σ = 608221426176. Its totient is φ = 55273657600.

The previous prime is 212221131377. The next prime is 212221131431. The reversal of 212221131420 is 24131122212.

It is a happy number.

It is a super-2 number, since 2×2122211314202 (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, 223030 + ... + 688610.

It is an arithmetic number, because the mean of its divisors is an integer number (6335639856).

Almost surely, 2212221131420 is an apocalyptic number.

212221131420 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 212221131420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304110713088).

212221131420 is an abundant number, since it is smaller than the sum of its proper divisors (396000294756).

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

212221131420 is a wasteful number, since it uses less digits than its factorization.

212221131420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465771 (or 465769 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 212221131420 its reverse (24131122212), we get a palindrome (236352253632).

The spelling of 212221131420 in words is "two hundred twelve billion, two hundred twenty-one million, one hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 107 142 213 214 284 321 355 426 428 535 642 710 852 1065 1070 1284 1420 1605 2130 2140 3210 4260 6420 7597 15194 22791 30388 37985 45582 75970 91164 113955 151940 227910 455820 465581 931162 1396743 1862324 2327905 2793486 4655810 5586972 6983715 9311620 13967430 27934860 33056251 49817167 66112502 99168753 99634334 132225004 149451501 165281255 198337506 199268668 249085835 298903002 330562510 396675012 495843765 498171670 597806004 661125020 747257505 991687530 996343340 1494515010 1983375060 2989030020 3537018857 7074037714 10611056571 14148075428 17685094285 21222113142 35370188570 42444226284 53055282855 70740377140 106110565710 212221131420