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133223020001100 = 223252148025577779
BaseRepresentation
bin11110010010101001100110…
…110010000111011101001100
3122110200222220022202110122200
4132102221212302013131030
5114430211221110013400
61151201451022041500
740030021425534441
oct3622514662073514
9573628808673580
10133223020001100
11394a36247456a7
1212b3761ba19290
135944b52677183
1424c805858d9c8
1510606831c2b00
hex792a66c8774c

133223020001100 has 54 divisors (see below), whose sum is σ = 417580154917380. Its totient is φ = 35526138666720.

The previous prime is 133223020001063. The next prime is 133223020001119. The reversal of 133223020001100 is 1100020322331.

133223020001100 is a `hidden beast` number, since 1 + 3 + 322 + 30 + 200 + 0 + 110 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 74012787990 + ... + 74012789789.

Almost surely, 2133223020001100 is an apocalyptic number.

133223020001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133223020001100 is an abundant number, since it is smaller than the sum of its proper divisors (284357134916280).

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

133223020001100 is a wasteful number, since it uses less digits than its factorization.

133223020001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148025577799 (or 148025577789 counting only the distinct ones).

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

Adding to 133223020001100 its reverse (1100020322331), we get a palindrome (134323040323431).

The spelling of 133223020001100 in words is "one hundred thirty-three trillion, two hundred twenty-three billion, twenty million, one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 148025577779 296051155558 444076733337 592102311116 740127888895 888153466674 1332230200011 1480255777790 1776306933348 2220383666685 2664460400022 2960511555580 3700639444475 4440767333370 5328920800044 6661151000055 7401278888950 8881534666740 11101918333425 13322302000110 14802557777900 22203836666850 26644604000220 33305755000275 44407673333700 66611510000550 133223020001100