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212212343034 = 2321719106334337
BaseRepresentation
bin1100010110100011010…
…1110110000011111010
3202021202102221222201200
43011220311312003322
511434102324434114
6241253342555030
721221551103436
oct3055065660372
9667672858650
10212212343034
1181aa937628a
1235165598a76
131701c470163
14a3b1db59c6
1557c068b409
hex3168d760fa

212212343034 has 96 divisors (see below), whose sum is σ = 512960273280. Its totient is φ = 63011229696.

The previous prime is 212212343033. The next prime is 212212343039. The reversal of 212212343034 is 430343212212.

212212343034 is a `hidden beast` number, since 2 + 1 + 221 + 2 + 3 + 430 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 212212342989 and 212212343007.

It is not an unprimeable number, because it can be changed into a prime (212212343033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6163114 + ... + 6197450.

It is an arithmetic number, because the mean of its divisors is an integer number (5343336180).

Almost surely, 2212212343034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212212343034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256480136640).

212212343034 is an abundant number, since it is smaller than the sum of its proper divisors (300747930246).

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

212212343034 is a wasteful number, since it uses less digits than its factorization.

212212343034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35444 (or 35441 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 212212343034 its reverse (430343212212), we get a palindrome (642555555246).

The spelling of 212212343034 in words is "two hundred twelve billion, two hundred twelve million, three hundred forty-three thousand, thirty-four".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 102 114 153 171 306 323 342 646 969 1063 1938 2126 2907 3189 5814 6378 9567 18071 19134 20197 34337 36142 40394 54213 60591 68674 103011 108426 121182 162639 181773 206022 309033 325278 343349 363546 583729 618066 652403 686698 1030047 1167458 1304806 1751187 1957209 2060094 3090141 3502374 3914418 5253561 5871627 6180282 10507122 11090851 11743254 22181702 33272553 36500231 66545106 73000462 99817659 109500693 199635318 219001386 328502079 620503927 657004158 693504389 1241007854 1387008778 1861511781 2080513167 3723023562 4161026334 5584535343 6241539501 11169070686 11789574613 12483079002 23579149226 35368723839 70737447678 106106171517 212212343034