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220120211012200 = 235217219200437271
BaseRepresentation
bin110010000011001010111010…
…111111000011101001101000
31001212101021201222022201001021
4302003022322333003221220
5212322422143004342300
62100053455014502224
764236106013152642
oct6203127277035150
91055337658281037
10220120211012200
116415650365a054
1220830931364974
1395a932939b765
143c4dc37235892
151a6ac726acd1a
hexc832bafc3a68

220120211012200 has 144 divisors (see below), whose sum is σ = 572268455287200. Its totient is φ = 78507269913600.

The previous prime is 220120211012189. The next prime is 220120211012297. The reversal of 220120211012200 is 2210112021022.

It is a happy number.

220120211012200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 99120436 + ... + 101316835.

It is an arithmetic number, because the mean of its divisors is an integer number (3974086495050).

Almost surely, 2220120211012200 is an apocalyptic number.

220120211012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220120211012200 is an abundant number, since it is smaller than the sum of its proper divisors (352148244275000).

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

220120211012200 is a wasteful number, since it uses less digits than its factorization.

220120211012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200437340 (or 200437314 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 220120211012200 its reverse (2210112021022), we get a palindrome (222330323033222).

The spelling of 220120211012200 in words is "two hundred twenty trillion, one hundred twenty billion, two hundred eleven million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 19 20 25 34 38 40 50 68 76 85 95 100 136 152 170 190 200 289 323 340 380 425 475 578 646 680 760 850 950 1156 1292 1445 1615 1700 1900 2312 2584 2890 3230 3400 3800 5491 5780 6460 7225 8075 10982 11560 12920 14450 16150 21964 27455 28900 32300 43928 54910 57800 64600 109820 137275 219640 274550 549100 1098200 200437271 400874542 801749084 1002186355 1603498168 2004372710 3407433607 3808308149 4008745420 5010931775 6814867214 7616616298 8017490840 10021863550 13629734428 15233232596 17037168035 19041540745 20043727100 27259468856 30466465192 34074336070 38083081490 40087454200 57926371319 64741238533 68148672140 76166162980 85185840175 95207703725 115852742638 129482477066 136297344280 152332325960 170371680350 190415407450 231705485276 258964954132 289631856595 323706192665 340743360700 380830814900 463410970552 517929908264 579263713190 647412385330 681486721400 761661629800 1100601055061 1158527426380 1294824770660 1448159282975 1618530963325 2201202110122 2317054852760 2589649541320 2896318565950 3237061926650 4402404220244 5503005275305 5792637131900 6474123853300 8804808440488 11006010550610 11585274263800 12948247706600 22012021101220 27515026376525 44024042202440 55030052753050 110060105506100 220120211012200