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212211000210 = 235114314493323
BaseRepresentation
bin1100010110100011000…
…0101110001110010010
3202021202100102202201110
43011220300232032102
511434102004001320
6241253254114150
721221533511466
oct3055060561622
9667670382643
10212211000210
1181aa8639410
123516504b956
131701c0bcba1
14a3b1b464a6
1557c04c35e0
hex3168c2e392

212211000210 has 128 divisors (see below), whose sum is σ = 558304358400. Its totient is φ = 51196006400.

The previous prime is 212211000191. The next prime is 212211000257. The reversal of 212211000210 is 12000112212.

It is a super-2 number, since 2×2122110002102 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63859609 + ... + 63862931.

It is an arithmetic number, because the mean of its divisors is an integer number (4361752800).

Almost surely, 2212211000210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212211000210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279152179200).

212211000210 is an abundant number, since it is smaller than the sum of its proper divisors (346093358190).

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

212211000210 is a wasteful number, since it uses less digits than its factorization.

212211000210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4224.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212211000210 its reverse (12000112212), we get a palindrome (224211112422).

The spelling of 212211000210 in words is "two hundred twelve billion, two hundred eleven million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 431 449 862 898 1293 1347 2155 2245 2586 2694 3323 4310 4490 4741 4939 6465 6646 6735 9482 9878 9969 12930 13470 14223 14817 16615 19938 23705 24695 28446 29634 33230 36553 47410 49390 49845 71115 73106 74085 99690 109659 142230 148170 182765 193519 219318 365530 387038 548295 580557 967595 1096590 1161114 1432213 1492027 1935190 2128709 2864426 2902785 2984054 4257418 4296639 4476081 5805570 6386127 7161065 7460135 8593278 8952162 10643545 12772254 14322130 14920270 15754343 16412297 21287090 21483195 22380405 31508686 31930635 32824594 42966390 44760810 47263029 49236891 63861270 78771715 82061485 94526058 98473782 157543430 164122970 236315145 246184455 472630290 492368910 643063637 1286127274 1929190911 3215318185 3858381822 6430636370 7073700007 9645954555 14147400014 19291909110 21221100021 35368500035 42442200042 70737000070 106105500105 212211000210