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102021211112220 = 223253741453369539
BaseRepresentation
bin10111001100100110101010…
…000011000100001100011100
3111101020010120121121112010200
4113030212222003010030130
5101333003420021042340
61000551521455303500
730326534501133531
oct2714465203041434
9441203517545120
10102021211112220
112a563a52a92574
12b53848921ab90
1344c0735c6a29a
141b29bd276ad88
15bbdc149eb330
hex5cc9aa0c431c

102021211112220 has 144 divisors (see below), whose sum is σ = 317836768747680. Its totient is φ = 26469658096128.

The previous prime is 102021211112207. The next prime is 102021211112243. The reversal of 102021211112220 is 22211112120201.

102021211112220 is a `hidden beast` number, since 10 + 202 + 121 + 1 + 112 + 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 = 102021211112193 and 102021211112202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275892211 + ... + 276261749.

It is an arithmetic number, because the mean of its divisors is an integer number (2207199782970).

Almost surely, 2102021211112220 is an apocalyptic number.

102021211112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102021211112220 is an abundant number, since it is smaller than the sum of its proper divisors (215815557635460).

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

102021211112220 is a wasteful number, since it uses less digits than its factorization.

102021211112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411044 (or 411039 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102021211112220 its reverse (22211112120201), we get a palindrome (124232323232421).

The spelling of 102021211112220 in words is "one hundred two trillion, twenty-one billion, two hundred eleven million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 41453 82906 124359 165812 207265 248718 369539 373077 414530 497436 621795 739078 746154 829060 1108617 1243590 1478156 1492308 1533761 1847695 1865385 2217234 2487180 3067522 3325851 3695390 3730770 4434468 4601283 5543085 6135044 6651702 7390780 7461540 7668805 9202566 11086170 13303404 13672943 13803849 15337610 16629255 18405132 22172340 23006415 27345886 27607698 30675220 33258510 41018829 46012830 54691772 55215396 66517020 68364715 69019245 82037658 92025660 123056487 136729430 138038490 164075316 205094145 246112974 273458860 276076980 410188290 492225948 615282435 820376580 1230564870 2461129740 15318500167 30637000334 45955500501 61274000668 76592500835 91911001002 137866501503 153185001670 183822002004 229777502505 275733003006 306370003340 459555005010 551466006012 566784506179 689332507515 919110010020 1133569012358 1378665015030 1700353518537 2267138024716 2757330030060 2833922530895 3400707037074 5101060555611 5667845061790 6801414074148 8501767592685 10202121111222 11335690123580 17003535185370 20404242222444 25505302778055 34007070370740 51010605556110 102021211112220