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212210212312 = 23729891917687
BaseRepresentation
bin1100010110100010110…
…1101101110111011000
3202021202021221201221001
43011220231231313120
511434101303243222
6241253225154344
721221524020430
oct3055055556730
9667667851831
10212210212312
1181aa815045a
123516492b9b4
131701bba5387
14a3b19bd2c0
1557c03b9e27
hex3168b6ddd8

212210212312 has 128 divisors (see below), whose sum is σ = 478255104000. Its totient is φ = 86358666240.

The previous prime is 212210212297. The next prime is 212210212327. The reversal of 212210212312 is 213212012212.

It is an interprime number because it is at equal distance from previous prime (212210212297) and next prime (212210212327).

It is a self number, because there is not a number n which added to its sum of digits gives 212210212312.

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, 27602533 + ... + 27610219.

It is an arithmetic number, because the mean of its divisors is an integer number (3736368000).

Almost surely, 2212210212312 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 212210212312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239127552000).

212210212312 is an abundant number, since it is smaller than the sum of its proper divisors (266044891688).

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

212210212312 is a wasteful number, since it uses less digits than its factorization.

212210212312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8009 (or 8005 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 212210212312 its reverse (213212012212), we get a palindrome (425422224524).

The spelling of 212210212312 in words is "two hundred twelve billion, two hundred ten million, two hundred twelve thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 29 56 58 89 116 178 191 203 232 356 382 406 623 712 764 812 1246 1337 1528 1624 2492 2581 2674 4984 5162 5348 5539 7687 10324 10696 11078 15374 16999 18067 20648 22156 30748 33998 36134 38773 44312 53809 61496 67996 72268 77546 107618 118993 135992 144536 155092 215236 222923 237986 310184 430472 445846 475972 492971 684143 891692 951944 985942 1368286 1468217 1560461 1783384 1971884 2736572 2936434 3120922 3450797 3943768 4789001 5473144 5872868 6241844 6901594 9578002 10277519 11745736 12483688 13803188 19156004 19840147 20555038 27606376 38312008 39680294 41110076 42578293 79360588 82220152 85156586 130671313 138881029 158721176 170313172 261342626 277762058 298048051 340626344 522685252 555524116 596096102 914699191 1045370504 1111048232 1192192204 1829398382 2384384408 3658796764 3789468077 7317593528 7578936154 15157872308 26526276539 30315744616 53052553078 106105106156 212210212312