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3122221010220 = 22325134728388989
BaseRepresentation
bin101101011011110010110…
…111111100110100101100
3102001110222221122220012100
4231123302313330310230
5402123302034311340
610350154543535100
7441400355462664
oct55336267746454
912043887586170
103122221010220
11aa4143400734
124251355ba490
13198568bc3ab0
14ab18b1c91a4
15563396b6830
hex2d6f2dfcd2c

3122221010220 has 144 divisors (see below), whose sum is σ = 10416261098880. Its totient is φ = 752194626048.

The previous prime is 3122221010201. The next prime is 3122221010221. The reversal of 3122221010220 is 220101222213.

3122221010220 is a `hidden beast` number, since 3 + 1 + 222 + 210 + 10 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3122221010193 and 3122221010202.

It is not an unprimeable number, because it can be changed into a prime (3122221010221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14084515 + ... + 14304474.

It is an arithmetic number, because the mean of its divisors is an integer number (72335146520).

Almost surely, 23122221010220 is an apocalyptic number.

3122221010220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3122221010220 is an abundant number, since it is smaller than the sum of its proper divisors (7294040088660).

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

3122221010220 is a wasteful number, since it uses less digits than its factorization.

3122221010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28389064 (or 28389059 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 3122221010220 its reverse (220101222213), we get a palindrome (3342322232433).

The spelling of 3122221010220 in words is "three trillion, one hundred twenty-two billion, two hundred twenty-one million, ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 47 52 60 65 78 90 94 117 130 141 156 180 188 195 234 235 260 282 390 423 468 470 564 585 611 705 780 846 940 1170 1222 1410 1692 1833 2115 2340 2444 2820 3055 3666 4230 5499 6110 7332 8460 9165 10998 12220 18330 21996 27495 36660 54990 109980 28388989 56777978 85166967 113555956 141944945 170333934 255500901 283889890 340667868 369056857 425834835 511001802 567779780 738113714 851669670 1022003604 1107170571 1277504505 1334282483 1476227428 1703339340 1845284285 2214341142 2555009010 2668564966 3321511713 3690568570 4002847449 4428682284 5110018020 5337129932 5535852855 6643023426 6671412415 7381137140 8005694898 11071705710 12008542347 13286046852 13342824830 16011389796 16607558565 17345672279 20014237245 22143411420 24017084694 26685649660 33215117130 34691344558 40028474490 48034169388 52037016837 60042711735 66430234260 69382689116 80056948980 86728361395 104074033674 120085423470 156111050511 173456722790 208148067348 240170846940 260185084185 312222101022 346913445580 520370168370 624444202044 780555252555 1040740336740 1561110505110 3122221010220