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101122212222020 = 225115311131779137
BaseRepresentation
bin10110111111100001011001…
…100010011101010001000100
3111021001012002211121002101002
4112333201121202131101010
5101223241242312101040
6555022523013152432
730204560454505463
oct2677413142352104
9437035084532332
10101122212222020
112a247764604350
12b4121b432b718
134456a25a19552
141ad84ac3009da
15ba564a31ea15
hex5bf85989d444

101122212222020 has 96 divisors (see below), whose sum is σ = 236054280502656. Its totient is φ = 36074620108800.

The previous prime is 101122212222013. The next prime is 101122212222037. The reversal of 101122212222020 is 20222212221101.

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 = 101122212221983 and 101122212222001.

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, 129397892 + ... + 130177028.

It is an arithmetic number, because the mean of its divisors is an integer number (2458898755236).

Almost surely, 2101122212222020 is an apocalyptic number.

101122212222020 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 101122212222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118027140251328).

101122212222020 is an abundant number, since it is smaller than the sum of its proper divisors (134932068280636).

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

101122212222020 is a wasteful number, since it uses less digits than its factorization.

101122212222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790341 (or 790339 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 101122212222020 its reverse (20222212221101), we get a palindrome (121344424443121).

The spelling of 101122212222020 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred twelve million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 583 1060 1166 2332 2915 5830 11131 11660 22262 44524 55655 111310 122441 222620 244882 489764 589943 612205 779137 1179886 1224410 1558274 2359772 2448820 2949715 3116548 3895685 5899430 6489373 7791370 8570507 11798860 12978746 15582740 17141014 25957492 32446865 34282028 41294261 42852535 64893730 82588522 85705070 129787460 165177044 171410140 206471305 412942610 454236871 825885220 908473742 1816947484 2271184355 4542368710 8672573947 9084737420 17345147894 34690295788 43362869735 86725739470 95398313417 173451478940 190796626834 381593253668 459646419191 476991567085 919292838382 953983134170 1838585676764 1907966268340 2298232095955 4596464191910 5056110611101 9192928383820 10112221222202 20224442444404 25280553055505 50561106111010 101122212222020