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2132021003100 = 2235231354141969
BaseRepresentation
bin11111000001100110010…
…110101100001101011100
321112211010012122200122120
4133001212112230031130
5234412334334044400
64311234213142540
7310014316341522
oct37014626541534
97484105580576
102132021003100
1175220430250a
122a524962aa50
13126083058111
1475294520312
153a6d34a1ca0
hex1f0665ac35c

2132021003100 has 144 divisors (see below), whose sum is σ = 6199942032480. Its totient is φ = 565661491200.

The previous prime is 2132021003039. The next prime is 2132021003113. The reversal of 2132021003100 is 13001202312.

It is a super-2 number, since 2×21320210031002 (a number of 25 digits) contains 22 as substring.

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 2132021003100.

It is a congruent number.

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, 50778916 + ... + 50820884.

Almost surely, 22132021003100 is an apocalyptic number.

2132021003100 is a gapful number since it is divisible by the number (20) 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 2132021003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3099971016240).

2132021003100 is an abundant number, since it is smaller than the sum of its proper divisors (4067921029380).

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

2132021003100 is a wasteful number, since it uses less digits than its factorization.

2132021003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42840 (or 42833 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2132021003100 its reverse (13001202312), we get a palindrome (2145022205412).

The spelling of 2132021003100 in words is "two trillion, one hundred thirty-two billion, twenty-one million, three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 313 541 626 939 1082 1252 1565 1623 1878 2164 2705 3130 3246 3756 4695 5410 6260 6492 7825 8115 9390 10820 13525 15650 16230 18780 23475 27050 31300 32460 40575 41969 46950 54100 81150 83938 93900 125907 162300 167876 169333 209845 251814 338666 419690 503628 507999 629535 677332 839380 846665 1015998 1049225 1259070 1693330 2031996 2098450 2518140 2539995 3147675 3386660 4196900 4233325 5079990 6295350 8466650 10159980 12590700 12699975 13136297 16933300 22705229 25399950 26272594 39408891 45410458 50799900 52545188 65681485 68115687 78817782 90820916 113526145 131362970 136231374 157635564 197044455 227052290 262725940 272462748 328407425 340578435 394088910 454104580 567630725 656814850 681156870 788177820 985222275 1135261450 1313629700 1362313740 1702892175 1970444550 2270522900 3405784350 3940889100 6811568700 7106736677 14213473354 21320210031 28426946708 35533683385 42640420062 71067366770 85280840124 106601050155 142134733540 177668416925 213202100310 355336833850 426404200620 533005250775 710673667700 1066010501550 2132021003100