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101120112022220 = 225172233174207213
BaseRepresentation
bin10110111111011111011100…
…010110110101001011001100
3111021000222200110200212212022
4112333133130112311023030
5101223222442134202340
6555021534350425312
730204454433220134
oct2677373426651314
9437028613625768
10101120112022220
112a24688704a135
12b411908b02238
13445677c88b785
141ad834d401ac4
15ba5575c683b5
hex5bf7dc5b52cc

101120112022220 has 96 divisors (see below), whose sum is σ = 226564330341888. Its totient is φ = 37778475036672.

The previous prime is 101120112022141. The next prime is 101120112022231. The reversal of 101120112022220 is 22220211021101.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21931334 + ... + 26138546.

It is an arithmetic number, because the mean of its divisors is an integer number (2360045107728).

Almost surely, 2101120112022220 is an apocalyptic number.

101120112022220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101120112022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113282165170944).

101120112022220 is an abundant number, since it is smaller than the sum of its proper divisors (125444218319668).

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

101120112022220 is a wasteful number, since it uses less digits than its factorization.

101120112022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4207779 (or 4207777 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101120112022220 its reverse (22220211021101), we get a palindrome (123340323043321).

The spelling of 101120112022220 in words is "one hundred one trillion, one hundred twenty billion, one hundred twelve million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 223 317 340 446 634 892 1115 1268 1585 2230 3170 3791 4460 5389 6340 7582 10778 15164 18955 21556 26945 37910 53890 70691 75820 107780 141382 282764 353455 706910 1201747 1413820 2403494 4207213 4806988 6008735 8414426 12017470 16828852 21036065 24034940 42072130 71522621 84144260 143045242 286090484 357613105 715226210 938208499 1333686521 1430452420 1876416998 2667373042 3752833996 4691042495 5334746084 6668432605 9382084990 13336865210 15949544483 18764169980 22672670857 26673730420 31899088966 45345341714 63798177932 79747722415 90690683428 113363354285 159495444830 226726708570 297412094183 318990889660 453453417140 594824188366 1189648376732 1487060470915 2974120941830 5056005601111 5948241883660 10112011202222 20224022404444 25280028005555 50560056011110 101120112022220