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212031222101202 = 23771503985714341
BaseRepresentation
bin110000001101011101011101…
…101011001011010011010010
31000210201222122102121020102110
4300031131131223023103102
5210242404420324214302
62030541444305330150
762442515225654250
oct6015353553132322
91023658572536373
10212031222101202
1161617a33262979
121b9450a3336956
1391405c62a595a
143a5051a0915d0
15197a64303cb6c
hexc0d75dacb4d2

212031222101202 has 128 divisors (see below), whose sum is σ = 492530124054528. Its totient is φ = 59598159667200.

The previous prime is 212031222101183. The next prime is 212031222101203. The reversal of 212031222101202 is 202101222130212.

It is a super-3 number, since 3×2120312221012023 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (212031222101203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14784960552 + ... + 14784974892.

It is an arithmetic number, because the mean of its divisors is an integer number (3847891594176).

Almost surely, 2212031222101202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212031222101202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246265062027264).

212031222101202 is an abundant number, since it is smaller than the sum of its proper divisors (280498901953326).

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

212031222101202 is a wasteful number, since it uses less digits than its factorization.

212031222101202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24784.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 212031222101202 its reverse (202101222130212), we get a palindrome (414132444231414).

The spelling of 212031222101202 in words is "two hundred twelve trillion, thirty-one billion, two hundred twenty-two million, one hundred one thousand, two hundred two".

Divisors: 1 2 3 6 7 14 21 42 71 142 213 426 497 503 994 1006 1491 1509 2982 3018 3521 7042 9857 10563 14341 19714 21126 28682 29571 35713 43023 59142 68999 71426 86046 100387 107139 137998 200774 206997 214278 249991 301161 413994 499982 602322 699847 749973 1018211 1399694 1499946 2036422 2099541 3054633 4199082 4898929 4958071 6109266 7127477 7213523 9797858 9916142 14254954 14427046 14696787 14874213 21382431 21640569 29393574 29748426 34706497 42764862 43281138 50494661 69412994 100989322 104119491 141359237 151483983 208238982 282718474 302967966 352023041 424077711 512160133 704046082 848155422 989514659 1024320266 1056069123 1536480399 1979029318 2112138246 2464161287 2968543977 3072960798 3585120931 4928322574 5937087954 7170241862 7392483861 10036505827 10755362793 14784967722 20073011654 21510725586 30109517481 60219034962 70255540789 71103696211 140511081578 142207392422 210766622367 213311088633 421533244734 426622177266 497725873477 995451746954 1493177620431 2986355240862 5048362430981 10096724861962 15145087292943 30290174585886 35338537016867 70677074033734 106015611050601 212031222101202