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13202020331100 = 22325237396457067
BaseRepresentation
bin1100000000011101010110…
…1110110110111001011100
31201202002201111101200000200
43000013111232312321130
53212300214201043400
644024531401223500
72531546241155466
oct300072556667134
951662644350020
1013202020331100
11422aa44334617
121592781a91b90
13749c3971c983
14338da4575136
1517d635187b00
hexc01d5bb6e5c

13202020331100 has 108 divisors (see below), whose sum is σ = 42499404775464. Its totient is φ = 3425389050240.

The previous prime is 13202020331083. The next prime is 13202020331117. The reversal of 13202020331100 is 113302020231.

13202020331100 is a `hidden beast` number, since 1 + 32 + 0 + 202 + 0 + 331 + 100 = 666.

It is an interprime number because it is at equal distance from previous prime (13202020331083) and next prime (13202020331117).

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

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 198195234 + ... + 198261833.

Almost surely, 213202020331100 is an apocalyptic number.

13202020331100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13202020331100 is an abundant number, since it is smaller than the sum of its proper divisors (29297384444364).

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

13202020331100 is a wasteful number, since it uses less digits than its factorization.

13202020331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396457124 (or 396457114 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13202020331100 its reverse (113302020231), we get a palindrome (13315322351331).

The spelling of 13202020331100 in words is "thirteen trillion, two hundred two billion, twenty million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 33300 396457067 792914134 1189371201 1585828268 1982285335 2378742402 3568113603 3964570670 4757484804 5946856005 7136227206 7929141340 9911426675 11893712010 14272454412 14668911479 17840568015 19822853350 23787424020 29337822958 29734280025 35681136030 39645706700 44006734437 58675645916 59468560050 71362272060 73344557395 88013468874 89202840075 118937120100 132020203311 146689114790 176026937748 178405680150 220033672185 264040406622 293378229580 356811360300 366722786975 440067344370 528080813244 660101016555 733445573950 880134688740 1100168360925 1320202033110 1466891147900 2200336721850 2640404066220 3300505082775 4400673443700 6601010165550 13202020331100