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132213112230000 = 243544407103741
BaseRepresentation
bin11110000011111101000011…
…100101101101000001110000
3122100010110011010010010022110
4132003331003211231001300
5114312134423212330000
61145105510521405320
736564040113241404
oct3603750345550160
9570113133103273
10132213112230000
11391442a207972a
12129b3953939840
1358a08488437a9
142491212351104
151044276c1a850
hex783f4396d070

132213112230000 has 100 divisors (see below), whose sum is σ = 426801554790248. Its totient is φ = 35256829920000.

The previous prime is 132213112229929. The next prime is 132213112230007. The reversal of 132213112230000 is 32211312231.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-3 number, since 3×1322131122300003 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132213112230007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2203521871 + ... + 2203581870.

Almost surely, 2132213112230000 is an apocalyptic number.

132213112230000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132213112230000 is an abundant number, since it is smaller than the sum of its proper divisors (294588442560248).

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

132213112230000 is an equidigital number, since it uses as much as digits as its factorization.

132213112230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4407103772 (or 4407103751 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 132213112230000 its reverse (32211312231), we get a palindrome (132245323542231).

The spelling of 132213112230000 in words is "one hundred thirty-two trillion, two hundred thirteen billion, one hundred twelve million, two hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 4407103741 8814207482 13221311223 17628414964 22035518705 26442622446 35256829928 44071037410 52885244892 66106556115 70513659856 88142074820 105770489784 110177593525 132213112230 176284149640 211540979568 220355187050 264426224460 330532780575 352568299280 440710374100 528852448920 550887967625 661065561150 881420748200 1057704897840 1101775935250 1322131122300 1652663902875 1762841496400 2203551870500 2644262244600 2754439838125 3305327805750 4407103741000 5288524489200 5508879676250 6610655611500 8263319514375 8814207482000 11017759352500 13221311223000 16526639028750 22035518705000 26442622446000 33053278057500 44071037410000 66106556115000 132213112230000