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213224015444010 = 235291139209235519
BaseRepresentation
bin110000011110110100010101…
…101100101011100000101010
31000221222000110020201020020120
4300132310111230223200222
5210421430240423202020
62033253432130304110
762624632606046034
oct6036642554534052
91027860406636216
10213224015444010
1161a37884a8582a
121bab82ab428036
1391c8c2780c25c
143a92151426c54
15199b6a51dc740
hexc1ed15b2b82a

213224015444010 has 128 divisors (see below), whose sum is σ = 534128836608000. Its totient is φ = 54407084777472.

The previous prime is 213224015443993. The next prime is 213224015444021. The reversal of 213224015444010 is 10444510422312.

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, 905219031 + ... + 905454549.

It is an arithmetic number, because the mean of its divisors is an integer number (4172881536000).

Almost surely, 2213224015444010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213224015444010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267064418304000).

213224015444010 is an abundant number, since it is smaller than the sum of its proper divisors (320904821163990).

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

213224015444010 is a wasteful number, since it uses less digits than its factorization.

213224015444010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244880.

The product of its (nonzero) digits is 30720, while the sum is 33.

Adding to 213224015444010 its reverse (10444510422312), we get a palindrome (223668525866322).

The spelling of 213224015444010 in words is "two hundred thirteen trillion, two hundred twenty-four billion, fifteen million, four hundred forty-four thousand, ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 113 145 174 226 290 339 435 565 678 870 1130 1695 3277 3390 6554 9209 9831 16385 18418 19662 27627 32770 46045 49155 55254 92090 98310 138135 235519 267061 276270 471038 534122 706557 801183 1040617 1177595 1335305 1413114 1602366 2081234 2355190 2670610 3121851 3532785 4005915 5203085 6243702 6830051 7065570 8011830 10406170 13660102 15609255 20490153 26613647 30177893 31218510 34150255 40980306 53227294 60355786 68300510 79840941 90533679 102450765 133068235 150889465 159681882 181067358 204901530 266136470 301778930 399204705 452668395 771795763 798409410 905336790 1543591526 2168894471 2315387289 3858978815 4337788942 4630774578 6506683413 7717957630 10844472355 11576936445 13013366826 21688944710 23153872890 32533417065 62897939659 65066834130 125795879318 188693818977 245085075223 314489698295 377387637954 490170150446 628979396590 735255225669 943469094885 1225425376115 1470510451338 1886938189770 2450850752230 3676276128345 7107467181467 7352552256690 14214934362934 21322401544401 35537335907335 42644803088802 71074671814670 106612007722005 213224015444010