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211222220101020 = 223254519259671781
BaseRepresentation
bin110000000001101100000001…
…011001011101010110011100
31000200212122110200121111200200
4300001230001121131112130
5210141131101321213040
62025122052013023500
762330205343300602
oct6001540131352634
91020778420544620
10211222220101020
1161335927771207
121b834346184b90
1390b222932876b
143a232d2353872
1519645947c6630
hexc01b0165d59c

211222220101020 has 72 divisors (see below), whose sum is σ = 640849184233440. Its totient is φ = 56313460897920.

The previous prime is 211222220101019. The next prime is 211222220101037. The reversal of 211222220101020 is 20101022222112.

It is a happy number.

211222220101020 is a `hidden beast` number, since 211 + 2 + 222 + 201 + 0 + 10 + 20 = 666.

It is a super-2 number, since 2×2112222201010202 (a number of 29 digits) contains 22 as substring.

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 = 211222220100984 and 211222220101002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129022471 + ... + 130649310.

Almost surely, 2211222220101020 is an apocalyptic number.

211222220101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211222220101020 is an abundant number, since it is smaller than the sum of its proper divisors (429626964132420).

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

211222220101020 is a wasteful number, since it uses less digits than its factorization.

211222220101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259676315 (or 259676310 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211222220101020 its reverse (20101022222112), we get a palindrome (231323242323132).

The spelling of 211222220101020 in words is "two hundred eleven trillion, two hundred twenty-two billion, two hundred twenty million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 4519 9038 13557 18076 22595 27114 40671 45190 54228 67785 81342 90380 135570 162684 203355 271140 406710 813420 259671781 519343562 779015343 1038687124 1298358905 1558030686 2337046029 2596717810 3116061372 3895076715 4674092058 5193435620 7790153430 9348184116 11685230145 15580306860 23370460290 46740920580 1173456778339 2346913556678 3520370335017 4693827113356 5867283891695 7040740670034 10561111005051 11734567783390 14081481340068 17601851675085 21122222010102 23469135566780 35203703350170 42244444020204 52805555025255 70407406700340 105611110050510 211222220101020