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120202110212100 = 22352759970154239
BaseRepresentation
bin11011010101001010111100…
…000101001001100000000100
3120202121012122201210121020120
4123111022330011021200010
5111223342410203241400
61103352030452101540
734214213226510060
oct3325127405114004
9522535581717216
10120202110212100
1135333479608a54
1211593b836048b0
13520c0199a0c57
142197b554d8aa0
15dd6aeceacca0
hex6d52bc149804

120202110212100 has 144 divisors (see below), whose sum is σ = 404205062553600. Its totient is φ = 27009093985920.

The previous prime is 120202110212077. The next prime is 120202110212189. The reversal of 120202110212100 is 1212011202021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120202110212100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 484953220 + ... + 485201019.

Almost surely, 2120202110212100 is an apocalyptic number.

120202110212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120202110212100 is an abundant number, since it is smaller than the sum of its proper divisors (284002952341500).

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

120202110212100 is a wasteful number, since it uses less digits than its factorization.

120202110212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970154322 (or 970154315 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120202110212100 its reverse (1212011202021), we get a palindrome (121414121414121).

The spelling of 120202110212100 in words is "one hundred twenty trillion, two hundred two billion, one hundred ten million, two hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 59 60 70 75 84 100 105 118 140 150 175 177 210 236 295 300 350 354 413 420 525 590 700 708 826 885 1050 1180 1239 1475 1652 1770 2065 2100 2478 2950 3540 4130 4425 4956 5900 6195 8260 8850 10325 12390 17700 20650 24780 30975 41300 61950 123900 970154239 1940308478 2910462717 3880616956 4850771195 5820925434 6791079673 9701542390 11641850868 13582159346 14552313585 19403084780 20373239019 24253855975 27164318692 29104627170 33955398365 40746478038 48507711950 57239100101 58209254340 67910796730 72761567925 81492956076 97015423900 101866195095 114478200202 135821593460 145523135850 169776991825 171717300303 203732390190 228956400404 286195500505 291046271700 339553983650 343434600606 400673700707 407464780380 509330975475 572391001010 679107967300 686869201212 801347401414 858586501515 1018661950950 1144782002020 1202021102121 1430977502525 1602694802828 1717173003030 2003368503535 2037323901900 2404042204242 2861955005050 3434346006060 4006737007070 4292932507575 4808084408484 5723910010100 6010105510605 8013474014140 8585865015150 10016842517675 12020211021210 17171730030300 20033685035350 24040422042420 30050527553025 40067370070700 60101055106050 120202110212100