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212202110001210 = 23573116834757177
BaseRepresentation
bin110000001111111100100111…
…011000110010000000111010
31000211100022201220100000101020
4300033330213120302000322
5210303204410130014320
62031152145322203310
762461045051104210
oct6017744730620072
91024308656300336
10212202110001210
1161683455aa84aa
121b972235353536
13915375b17aa54
143a588cba14cb0
15197ece57c4940
hexc0ff2763203a

212202110001210 has 128 divisors (see below), whose sum is σ = 584766629351424. Its totient is φ = 48276583196160.

The previous prime is 212202110001173. The next prime is 212202110001253. The reversal of 212202110001210 is 12100011202212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212202110001210.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42228142 + ... + 46985318.

It is an arithmetic number, because the mean of its divisors is an integer number (4568489291808).

Almost surely, 2212202110001210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212202110001210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292383314675712).

212202110001210 is an abundant number, since it is smaller than the sum of its proper divisors (372564519350214).

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

212202110001210 is a wasteful number, since it uses less digits than its factorization.

212202110001210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4758188.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212202110001210 its reverse (12100011202212), we get a palindrome (224302121203422).

The spelling of 212202110001210 in words is "two hundred twelve trillion, two hundred two billion, one hundred ten million, one thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 311 622 683 933 1366 1555 1866 2049 2177 3110 3415 4098 4354 4665 4781 6531 6830 9330 9562 10245 10885 13062 14343 20490 21770 23905 28686 32655 47810 65310 71715 143430 212413 424826 637239 1062065 1274478 1486891 2124130 2973782 3186195 4460673 4757177 6372390 7434455 8921346 9514354 14271531 14868910 22303365 23785885 28543062 33300239 44606730 47571770 66600478 71357655 99900717 142715310 166501195 199801434 333002390 499503585 999007170 1479482047 2958964094 3249151891 4438446141 6498303782 7397410235 8876892282 9747455673 10356374329 14794820470 16245759455 19494911346 20712748658 22192230705 22744063237 31069122987 32491518910 44384461410 45488126474 48737278365 51781871645 62138245974 68232189711 97474556730 103563743290 113720316185 136464379422 155345614935 227440632370 310691229870 341160948555 682321897110 1010486238101 2020972476202 3031458714303 5052431190505 6062917428606 7073403666707 10104862381010 14146807333414 15157293571515 21220211000121 30314587143030 35367018333535 42440422000242 70734036667070 106101055000605 212202110001210