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211210111200112 = 24314115061689597
BaseRepresentation
bin110000000001100000101111…
…101001101010101101110000
31000200211111012210120121101021
4300001200233221222231300
5210140431301431400422
62025112330253145224
762326266310320523
oct6001405751525560
91020744183517337
10211210111200112
1161330783599792
121b831b26a8b214
1390b1049754c3b
143a228a40a8bba
1519640d66e3dc7
hexc0182fa6ab70

211210111200112 has 80 divisors (see below), whose sum is σ = 432752513566464. Its totient is φ = 99699031296000.

The previous prime is 211210111200107. The next prime is 211210111200241. The reversal of 211210111200112 is 211002111012112.

It is a super-2 number, since 2×2112101112001122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305935698 + ... + 306625294.

Almost surely, 2211210111200112 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 211210111200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216376256783232).

211210111200112 is an abundant number, since it is smaller than the sum of its proper divisors (221542402366352).

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

211210111200112 is a wasteful number, since it uses less digits than its factorization.

211210111200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704738 (or 704732 counting only the distinct ones).

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

Adding to 211210111200112 its reverse (211002111012112), we get a palindrome (422212222212224).

The spelling of 211210111200112 in words is "two hundred eleven trillion, two hundred ten billion, one hundred eleven million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 41 62 82 124 164 248 328 496 656 1271 2542 5084 10168 15061 20336 30122 60244 120488 240976 466891 617501 689597 933782 1235002 1379194 1867564 2470004 2758388 3735128 4940008 5516776 7470256 9880016 11033552 19142531 21377507 28273477 38285062 42755014 56546954 76570124 85510028 113093908 153140248 171020056 226187816 306280496 342040112 452375632 876477787 1752955574 3505911148 7011822296 10386020417 14023644592 20772040834 41544081668 83088163336 166176326672 321966632927 425826837097 643933265854 851653674194 1287866531708 1703307348388 2575733063416 3406614696776 5151466126832 6813229393552 13200631950007 26401263900014 52802527800028 105605055600056 211210111200112