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2132133300 = 2233521171789
BaseRepresentation
bin111111100010101…
…1100010110110100
312111120222121001000
41333011130112310
513331311231200
6551323003300
7103556556033
oct17705342664
95446877030
102132133300
119a4596340
124b6069530
1327c95bb4b
1416325271a
15c72b3300
hex7f15c5b4

2132133300 has 144 divisors (see below), whose sum is σ = 7477646400. Its totient is φ = 516873600.

The previous prime is 2132133293. The next prime is 2132133379. The reversal of 2132133300 is 33312312.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6195 + ... + 65594.

It is an arithmetic number, because the mean of its divisors is an integer number (51928100).

Almost surely, 22132133300 is an apocalyptic number.

2132133300 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 2132133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3738823200).

2132133300 is an abundant number, since it is smaller than the sum of its proper divisors (5345513100).

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

2132133300 is a wasteful number, since it uses less digits than its factorization.

2132133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71823 (or 71810 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2132133300 is about 46175.0289658815. The cubic root of 2132133300 is about 1287.0777551493.

Adding to 2132133300 its reverse (33312312), we get a palindrome (2165445612).

The spelling of 2132133300 in words is "two billion, one hundred thirty-two million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 27 30 33 36 44 45 50 54 55 60 66 75 90 99 100 108 110 132 135 150 165 180 198 220 225 270 275 297 300 330 396 450 495 540 550 594 660 675 825 900 990 1100 1188 1350 1485 1650 1980 2475 2700 2970 3300 4950 5940 7425 9900 14850 29700 71789 143578 215367 287156 358945 430734 646101 717890 789679 861468 1076835 1292202 1435780 1579358 1794725 1938303 2153670 2369037 2584404 3158716 3230505 3589450 3876606 3948395 4307340 4738074 5384175 6461010 7107111 7178900 7753212 7896790 9476148 9691515 10768350 11845185 12922020 14214222 15793580 16152525 19383030 19741975 21321333 21536700 23690370 28428444 32305050 35535555 38766060 39483950 42642666 47380740 48457575 59225925 64610100 71071110 78967900 85285332 96915150 106606665 118451850 142142220 177677775 193830300 213213330 236903700 355355550 426426660 533033325 710711100 1066066650 2132133300