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212121102312020 = 225112980941097431
BaseRepresentation
bin110000001110110001001010…
…111100111110001001010100
31000211001120122100002000200102
4300032301022330332021110
5210300343004142441040
62031051031130233232
762452146442105226
oct6016611274761124
91024046570060612
10212121102312020
11616520662a6640
121b95a5a7b85818
139148c1b345c55
143a54a050ca416
15197cb53b06515
hexc0ec4af3e254

212121102312020 has 96 divisors (see below), whose sum is σ = 503328469190400. Its totient is φ = 74383060505600.

The previous prime is 212121102312017. The next prime is 212121102312047. The reversal of 212121102312020 is 20213201121212.

It is a super-3 number, since 3×2121211023120203 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212121102311983 and 212121102312001.

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 31 ways as a sum of consecutive naturals, for example, 15387296 + ... + 25710135.

It is an arithmetic number, because the mean of its divisors is an integer number (5243004887400).

Almost surely, 2212121102312020 is an apocalyptic number.

212121102312020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212121102312020 is an abundant number, since it is smaller than the sum of its proper divisors (291207366878380).

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

212121102312020 is a wasteful number, since it uses less digits than its factorization.

212121102312020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41098289 (or 41098287 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 212121102312020 its reverse (20213201121212), we get a palindrome (232334303433232).

The spelling of 212121102312020 in words is "two hundred twelve trillion, one hundred twenty-one billion, one hundred two million, three hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 809 1276 1595 1618 3190 3236 4045 6380 8090 8899 16180 17798 23461 35596 44495 46922 88990 93844 117305 177980 234610 258071 469220 516142 1032284 1290355 2580710 5161420 41097431 82194862 164389724 205487155 410974310 452071741 821948620 904143482 1191825499 1808286964 2260358705 2383650998 4520717410 4767301996 5959127495 9041434820 11918254990 13110080489 23836509980 26220160978 33247821679 52440321956 65550402445 66495643358 131100804890 132991286716 166239108395 262201609780 332478216790 365726038469 664956433580 731452076938 964186828691 1462904153876 1828630192345 1928373657382 3657260384690 3856747314764 4820934143455 7314520769380 9641868286910 10606055115601 19283736573820 21212110231202 42424220462404 53030275578005 106060551156010 212121102312020