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133321120010220 = 223583112392382001
BaseRepresentation
bin11110010100000100111101…
…111111111100111111101100
3122111001101010002020021101210
4132110010331333330333230
5114433313123210311340
61151314513233434420
740040063432052102
oct3624047577747754
9574041102207353
10133321120010220
11395311956314aa
1212b5263940ba10
13595118765724c
1424ccac3149c72
151062ec5702180
hex79413dffcfec

133321120010220 has 96 divisors (see below), whose sum is σ = 377830489397760. Its totient is φ = 35120817792000.

The previous prime is 133321120010209. The next prime is 133321120010257. The reversal of 133321120010220 is 22010021123331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54779220 + ... + 57161220.

It is an arithmetic number, because the mean of its divisors is an integer number (3935734264560).

Almost surely, 2133321120010220 is an apocalyptic number.

133321120010220 is a gapful number since it is divisible by the number (10) 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 133321120010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188915244698880).

133321120010220 is an abundant number, since it is smaller than the sum of its proper divisors (244509369387540).

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

133321120010220 is a wasteful number, since it uses less digits than its factorization.

133321120010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393335 (or 2393333 counting only the distinct ones).

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

Adding to 133321120010220 its reverse (22010021123331), we get a palindrome (155331141133551).

The spelling of 133321120010220 in words is "one hundred thirty-three trillion, three hundred twenty-one billion, one hundred twenty million, ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 4980 11239 22478 33717 44956 56195 67434 112390 134868 168585 224780 337170 674340 932837 1865674 2382001 2798511 3731348 4664185 4764002 5597022 7146003 9328370 9528004 11194044 11910005 13992555 14292006 18656740 23820010 27985110 28584012 35730015 47640020 55970220 71460030 142920060 197706083 395412166 593118249 790824332 988530415 1186236498 1977060830 2372472996 2965591245 3954121660 5931182490 11862364980 26771309239 53542618478 80313927717 107085236956 133856546195 160627855434 267713092390 321255710868 401569638585 535426184780 803139277170 1606278554340 2222018666837 4444037333674 6666056000511 8888074667348 11110093334185 13332112001022 22220186668370 26664224002044 33330280002555 44440373336740 66660560005110 133321120010220