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2132201333100 = 2235229281872173
BaseRepresentation
bin11111000001110001000…
…110100110000101101100
321112211120202222101220110
4133001301012212011230
5234413222020124400
64311304134220020
7310021636203126
oct37016106460554
97484522871813
102132201333100
11752297080073
122a5299ab4610
131260b1516267
14752b0462216
153a6e4222e50
hex1f0711a616c

2132201333100 has 144 divisors (see below), whose sum is σ = 6404617890720. Its totient is φ = 547026278400.

The previous prime is 2132201333099. The next prime is 2132201333191. The reversal of 2132201333100 is 13331022312.

It is a super-2 number, since 2×21322013331002 (a number of 25 digits) contains 22 as substring.

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, 2008614 + ... + 2880786.

It is an arithmetic number, because the mean of its divisors is an integer number (44476513130).

Almost surely, 22132201333100 is an apocalyptic number.

2132201333100 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 2132201333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3202308945360).

2132201333100 is an abundant number, since it is smaller than the sum of its proper divisors (4272416557620).

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

2132201333100 is a wasteful number, since it uses less digits than its factorization.

2132201333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872500 (or 872493 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 2132201333100 its reverse (13331022312), we get a palindrome (2145532355412).

The spelling of 2132201333100 in words is "two trillion, one hundred thirty-two billion, two hundred one million, three hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 281 290 300 348 435 562 580 725 843 870 1124 1405 1450 1686 1740 2175 2810 2900 3372 4215 4350 5620 7025 8149 8430 8700 14050 16298 16860 21075 24447 28100 32596 40745 42150 48894 81490 84300 97788 122235 162980 203725 244470 407450 488940 611175 814900 872173 1222350 1744346 2444700 2616519 3488692 4360865 5233038 8721730 10466076 13082595 17443460 21804325 25293017 26165190 43608650 50586034 52330380 65412975 75879051 87217300 101172068 126465085 130825950 151758102 245080613 252930170 261651900 303516204 379395255 490161226 505860340 632325425 735241839 758790510 980322452 1225403065 1264650850 1470483678 1517581020 1896976275 2450806130 2529301700 2940967356 3676209195 3793952550 4901612260 6127015325 7107337777 7352418390 7587905100 12254030650 14214675554 14704836780 18381045975 21322013331 24508061300 28429351108 35536688885 36762091950 42644026662 71073377770 73524183900 85288053324 106610066655 142146755540 177683444425 213220133310 355366888850 426440266620 533050333275 710733777700 1066100666550 2132201333100