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133112320200 = 23325273951289
BaseRepresentation
bin111101111111000011…
…1001101000011001000
3110201120211022111022100
41323332013031003020
54140103223221300
6141052334553400
712421435024116
oct1737607150310
9421524274270
10133112320200
11514a8486392
122196b068860
13c724924512
14662a98cab6
1536e11e2700
hex1efe1cd0c8

133112320200 has 72 divisors (see below), whose sum is σ = 447035548050. Its totient is φ = 35496618240.

The previous prime is 133112320199. The next prime is 133112320207. The reversal of 133112320200 is 2023211331.

133112320200 is a `hidden beast` number, since 1 + 33 + 112 + 320 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 104894367876 + 28217952324 = 323874^2 + 167982^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (133112320207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36973845 + ... + 36977444.

Almost surely, 2133112320200 is an apocalyptic number.

133112320200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133112320200 is an abundant number, since it is smaller than the sum of its proper divisors (313923227850).

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

133112320200 is a wasteful number, since it uses less digits than its factorization.

133112320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73951311 (or 73951299 counting only the distinct ones).

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

Adding to 133112320200 its reverse (2023211331), we get a palindrome (135135531531).

The spelling of 133112320200 in words is "one hundred thirty-three billion, one hundred twelve million, three hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 73951289 147902578 221853867 295805156 369756445 443707734 591610312 665561601 739512890 887415468 1109269335 1331123202 1479025780 1774830936 1848782225 2218538670 2662246404 2958051560 3327808005 3697564450 4437077340 5324492808 5546346675 6655616010 7395128900 8874154680 11092693350 13311232020 14790257800 16639040025 22185386700 26622464040 33278080050 44370773400 66556160100 133112320200