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211000111212 = 2231121014613121
BaseRepresentation
bin1100010010000010010…
…1100011000001101100
3202011121221221020021210
43010200211203001230
511424112012024322
6240533200354420
721146531232042
oct3044045430154
9664557836253
10211000111212
1181537075600
1234a87615a10
1316b88285317
14a2d8dc0392
15574e03670c
hex312096306c

211000111212 has 144 divisors (see below), whose sum is σ = 547879080672. Its totient is φ = 63148800000.

The previous prime is 211000111181. The next prime is 211000111213. The reversal of 211000111212 is 212111000112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (211000111213) 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, 67605012 + ... + 67608132.

It is an arithmetic number, because the mean of its divisors is an integer number (3804715838).

Almost surely, 2211000111212 is an apocalyptic number.

211000111212 is a gapful number since it is divisible by the number (22) 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 211000111212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273939540336).

211000111212 is an abundant number, since it is smaller than the sum of its proper divisors (336878969460).

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

211000111212 is a wasteful number, since it uses less digits than its factorization.

211000111212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3712 (or 3699 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211000111212 its reverse (212111000112), we get a palindrome (423111111324).

Subtracting 211000111212 from its reverse (212111000112), we obtain a square (1110888900 = 333302).

The spelling of 211000111212 in words is "two hundred eleven billion, one hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 121 132 202 242 303 363 404 461 484 606 726 922 1111 1212 1383 1452 1844 2222 2766 3121 3333 4444 5071 5532 6242 6666 9363 10142 12221 12484 13332 15213 18726 20284 24442 30426 34331 36663 37452 46561 48884 55781 60852 68662 73326 93122 102993 111562 137324 139683 146652 167343 186244 205986 223124 279366 315221 334686 377641 411972 512171 558732 630442 669372 755282 945663 1024342 1132923 1260884 1438781 1510564 1536513 1891326 2048684 2265846 2877562 3073026 3467431 3782652 4316343 4531692 5633881 5755124 6146052 6934862 8632686 10402293 11267762 13869724 15826591 16901643 17265372 20804586 22535524 31653182 33803286 38141741 41609172 47479773 63306364 67606572 76283482 94959546 114425223 145316881 152566964 174092501 189919092 228850446 290633762 348185002 435950643 457700892 522277503 581267524 696370004 871901286 1044555006 1598485691 1743802572 2089110012 3196971382 4795457073 6393942764 9590914146 17583342601 19181828292 35166685202 52750027803 70333370404 105500055606 211000111212