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101021220022212 = 223274337778911867
BaseRepresentation
bin10110111110000011010101…
…111011110010011111000100
3111020200112102111221202212100
4112332003111323302133010
5101220112424311202322
6554504301403552100
730164354002124250
oct2676032573623704
9436615374852770
10101021220022212
112a20894a0a2906
12b3b670a22b630
13444a34c7a1139
141ad364b5a3260
15ba2bd8e44dac
hex5be0d5ef27c4

101021220022212 has 144 divisors (see below), whose sum is σ = 291968448670080. Its totient is φ = 28850414478336.

The previous prime is 101021220022187. The next prime is 101021220022231. The reversal of 101021220022212 is 212220022120101.

It is a happy number.

101021220022212 is a `hidden beast` number, since 10 + 10 + 212 + 200 + 22 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8512779103 + ... + 8512790969.

It is an arithmetic number, because the mean of its divisors is an integer number (2027558671320).

Almost surely, 2101021220022212 is an apocalyptic number.

101021220022212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101021220022212 is an abundant number, since it is smaller than the sum of its proper divisors (190947228647868).

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

101021220022212 is a wasteful number, since it uses less digits than its factorization.

101021220022212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24010 (or 24005 counting only the distinct ones).

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

Adding to 101021220022212 its reverse (212220022120101), we get a palindrome (313241242142313).

The spelling of 101021220022212 in words is "one hundred one trillion, twenty-one billion, two hundred twenty million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 4337 7789 8674 11867 13011 15578 17348 23367 23734 26022 30359 31156 35601 39033 46734 47468 52044 54523 60718 70101 71202 78066 83069 91077 93468 106803 109046 121436 140202 142404 156132 163569 166138 182154 213606 218092 249207 273231 280404 327138 332276 364308 427212 490707 498414 546462 654276 747621 981414 996828 1092924 1495242 1962828 2990484 33780893 51467179 67561786 92432063 101342679 102934358 135123572 154401537 184864126 202685358 205868716 236466251 277296189 304028037 308803074 360270253 369728252 405370716 463204611 472932502 554592378 608056074 617606148 647024441 709398753 720540506 831888567 926409222 945865004 1080810759 1109184756 1216112148 1294048882 1418797506 1441081012 1663777134 1852818444 1941073323 2128196259 2161621518 2588097764 2837595012 3242432277 3327554268 3882146646 4256392518 4323243036 5823219969 6484864554 7764293292 8512785036 11646439938 12969729108 23292879876 400877857231 801755714462 1202633571693 1603511428924 2405267143386 2806145000617 3607900715079 4810534286772 5612290001234 7215801430158 8418435001851 11224580002468 14431602860316 16836870003702 25255305005553 33673740007404 50510610011106 101021220022212