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211221022221120 = 2635435116788329
BaseRepresentation
bin110000000001101010111001…
…111111111010001101000000
31000200212112101012120220101110
4300001222321333322031000
5210141121123142033440
62025121333102203320
762330133556422432
oct6001527177721500
91020775335526343
10211221022221120
116133537258331a
121b834070b83540
1390b20980c72a2
143a2321b216652
151964524559080
hexc01ab9ffa340

211221022221120 has 112 divisors (see below), whose sum is σ = 686222716512960. Its totient is φ = 55015708102656.

The previous prime is 211221022221113. The next prime is 211221022221137. The reversal of 211221022221120 is 21122220122112.

It is a super-2 number, since 2×2112210222211202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2558352885 + ... + 2558435444.

Almost surely, 2211221022221120 is an apocalyptic number.

211221022221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221022221120 is an abundant number, since it is smaller than the sum of its proper divisors (475001694291840).

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

211221022221120 is a wasteful number, since it uses less digits than its factorization.

211221022221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5116788392 (or 5116788382 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 211221022221120 its reverse (21122220122112), we get a palindrome (232343242343232).

The spelling of 211221022221120 in words is "two hundred eleven trillion, two hundred twenty-one billion, twenty-two million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 129 160 172 192 215 240 258 320 344 430 480 516 645 688 860 960 1032 1290 1376 1720 2064 2580 2752 3440 4128 5160 6880 8256 10320 13760 20640 41280 5116788329 10233576658 15350364987 20467153316 25583941645 30700729974 40934306632 51167883290 61401459948 76751824935 81868613264 102335766580 122802919896 153503649870 163737226528 204671533160 220021898147 245605839792 307007299740 327474453056 409343066320 440043796294 491211679584 614014599480 660065694441 818686132640 880087592588 982423359168 1100109490735 1228029198960 1320131388882 1637372265280 1760175185176 2200218981470 2456058397920 2640262777764 3300328472205 3520350370352 4400437962940 4912116795840 5280525555528 6600656944410 7040700740704 8800875925880 10561051111056 13201313888820 14081401481408 17601751851760 21122102222112 26402627777640 35203503703520 42244204444224 52805255555280 70407007407040 105610511110560 211221022221120