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212210301212 = 227134380916759
BaseRepresentation
bin1100010110100010111…
…0000011100100011100
3202021202022010020212122
43011220232003210130
511434101314114322
6241253231122112
721221524540550
oct3055056034434
9667668106778
10212210301212
1181aa8201228
1235164973338
131701bc06990
14a3b1a03860
1557c03d6442
hex3168b8391c

212210301212 has 96 divisors (see below), whose sum is σ = 468303897600. Its totient is φ = 81892726272.

The previous prime is 212210301203. The next prime is 212210301221. The reversal of 212210301212 is 212103012212.

It is an interprime number because it is at equal distance from previous prime (212210301203) and next prime (212210301221).

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 12654089 + ... + 12670847.

It is an arithmetic number, because the mean of its divisors is an integer number (4878165600).

Almost surely, 2212210301212 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 212210301212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234151948800).

212210301212 is an abundant number, since it is smaller than the sum of its proper divisors (256093596388).

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

212210301212 is a wasteful number, since it uses less digits than its factorization.

212210301212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17635 (or 17633 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 212210301212 its reverse (212103012212), we get a palindrome (424313313424).

The spelling of 212210301212 in words is "two hundred twelve billion, two hundred ten million, three hundred one thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 43 52 86 91 172 182 301 364 559 602 809 1118 1204 1618 2236 3236 3913 5663 7826 10517 11326 15652 16759 21034 22652 33518 34787 42068 67036 69574 73619 117313 139148 147238 217867 234626 243509 294476 435734 452231 469252 487018 720637 871468 904462 974036 1441274 1525069 1808924 2882548 3050138 3165617 5044459 6100276 6331234 9368281 10088918 12662468 13558031 18736562 20177836 27116062 37473124 54232124 65577967 94906217 131155934 176254403 189812434 262311868 352508806 379624868 582995333 705017612 1165990666 1233780821 2331981332 2467561642 4080967331 4935123284 7578939329 8161934662 15157878658 16323869324 30315757316 53052575303 106105150606 212210301212