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212011303023120 = 243517927091182167
BaseRepresentation
bin110000001101001010111010…
…011001111011001000010000
31000210200002020020100020011210
4300031022322121323020100
5210242043122033214440
62030524351550340120
762441211505413306
oct6015127231731020
91023602206306153
10212011303023120
116160a541484777
121b9412644ba640
13913b7705c1c13
143a4d58a832276
151979d79458a80
hexc0d2ba67b210

212011303023120 has 160 divisors (see below), whose sum is σ = 660934767467520. Its totient is φ = 56218118100480.

The previous prime is 212011303023103. The next prime is 212011303023131. The reversal of 212011303023120 is 21320303110212.

It is a super-2 number, since 2×2120113030231202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1163738277 + ... + 1163920443.

It is an arithmetic number, because the mean of its divisors is an integer number (4130842296672).

Almost surely, 2212011303023120 is an apocalyptic number.

212011303023120 is a gapful number since it is divisible by the number (20) 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 212011303023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330467383733760).

212011303023120 is an abundant number, since it is smaller than the sum of its proper divisors (448923464444400).

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

212011303023120 is a wasteful number, since it uses less digits than its factorization.

212011303023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209453 (or 209447 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 212011303023120 its reverse (21320303110212), we get a palindrome (233331606133332).

The spelling of 212011303023120 in words is "two hundred twelve trillion, eleven billion, three hundred three million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 179 240 358 537 716 895 1074 1432 1790 2148 2685 2864 3580 4296 5370 7160 8592 10740 14320 21480 27091 42960 54182 81273 108364 135455 162546 182167 216728 270910 325092 364334 406365 433456 541820 546501 650184 728668 812730 910835 1083640 1093002 1300368 1457336 1625460 1821670 2167280 2186004 2732505 2914672 3250920 3643340 4372008 4849289 5465010 6501840 7286680 8744016 9698578 10930020 14547867 14573360 19397156 21860040 24246445 29095734 32607893 38794312 43720080 48492890 58191468 65215786 72739335 77588624 96985780 97823679 116382936 130431572 145478670 163039465 193971560 195647358 232765872 260863144 290957340 326078930 387943120 391294716 489118395 521726288 581914680 652157860 782589432 978236790 1163829360 1304315720 1565178864 1956473580 2608631440 3912947160 4935086197 7825894320 9870172394 14805258591 19740344788 24675430985 29610517182 39480689576 49350861970 59221034364 74026292955 78961379152 98701723940 118442068728 148052585910 197403447880 236884137456 296105171820 394806895760 592210343640 883380429263 1184420687280 1766760858526 2650141287789 3533521717052 4416902146315 5300282575578 7067043434104 8833804292630 10600565151156 13250706438945 14134086868208 17667608585260 21201130302312 26501412877890 35335217170520 42402260604624 53002825755780 70670434341040 106005651511560 212011303023120