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212122100021020 = 22574791135386829
BaseRepresentation
bin110000001110110010000110…
…011010111011011100011100
31000211001200012212102220010121
4300032302012122323130130
5210300402030101133040
62031051314130444324
762452213245354640
oct6016620632733434
91024050185386117
10212122100021020
11616525284a5132
121b95a8261336a4
139149049c603c7
143a54a9b7dcc20
15197cbb14d3c4a
hexc0ec866bb71c

212122100021020 has 96 divisors (see below), whose sum is σ = 520495540346880. Its totient is φ = 71102045763840.

The previous prime is 212122100020997. The next prime is 212122100021047. The reversal of 212122100021020 is 20120001221212.

It is a happy number.

212122100021020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2121221000210202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212122100020985 and 212122100021003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11699035 + ... + 23687794.

It is an arithmetic number, because the mean of its divisors is an integer number (5421828545280).

Almost surely, 2212122100021020 is an apocalyptic number.

212122100021020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212122100021020 is an abundant number, since it is smaller than the sum of its proper divisors (308373440325860).

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

212122100021020 is a wasteful number, since it uses less digits than its factorization.

212122100021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35387803 (or 35387801 counting only the distinct ones).

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

Adding to 212122100021020 its reverse (20120001221212), we get a palindrome (232242101242232).

The spelling of 212122100021020 in words is "two hundred twelve trillion, one hundred twenty-two billion, one hundred million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 470 658 911 940 1316 1645 1822 3290 3644 4555 6377 6580 9110 12754 18220 25508 31885 42817 63770 85634 127540 171268 214085 299719 428170 599438 856340 1198876 1498595 2997190 5994380 35386829 70773658 141547316 176934145 247707803 353868290 495415606 707736580 990831212 1238539015 1663180963 2477078030 3326361926 4954156060 6652723852 8315904815 11642266741 16631809630 23284533482 32237401219 33263619260 46569066964 58211333705 64474802438 116422667410 128949604876 161187006095 225661808533 232845334820 322374012190 451323617066 644748024380 902647234132 1128309042665 1515157857293 2256618085330 3030315714586 4513236170660 6060631429172 7575789286465 10606105001051 15151578572930 21212210002102 30303157145860 42424420004204 53030525005255 106061050010510 212122100021020