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202200212101011 = 31943793113357769
BaseRepresentation
bin101101111110011001100111…
…110100001101011110010011
3222111221011002102212102220220
4231332121213310031132103
5203000322013244213021
61554013254534404123
760406324515514065
oct5576314764153623
9874834072772826
10202200212101011
11594776a0422a23
121a817909b00643
1388a9523a75677
1437d0784807735
151859a58e3acc6
hexb7e667d0d793

202200212101011 has 64 divisors (see below), whose sum is σ = 295010985984000. Its totient is φ = 122760535322880.

The previous prime is 202200212101009. The next prime is 202200212101031. The reversal of 202200212101011 is 110101212002202.

It is not a de Polignac number, because 202200212101011 - 21 = 202200212101009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (202200212101031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58539735 + ... + 61897503.

It is an arithmetic number, because the mean of its divisors is an integer number (4609546656000).

Almost surely, 2202200212101011 is an apocalyptic number.

202200212101011 is a deficient number, since it is larger than the sum of its proper divisors (92810773882989).

202200212101011 is a wasteful number, since it uses less digits than its factorization.

202200212101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3358224.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 202200212101011 its reverse (110101212002202), we get a palindrome (312301424103213).

The spelling of 202200212101011 in words is "two hundred two trillion, two hundred billion, two hundred twelve million, one hundred one thousand, eleven".

Divisors: 1 3 19 43 57 79 129 237 311 817 933 1501 2451 3397 4503 5909 10191 13373 17727 24569 40119 64543 73707 193629 254087 466811 762261 1056467 1400433 3169401 3357769 10073307 20072873 60218619 63797611 144384067 191392833 265263751 433152201 795791253 1044266159 2743297273 3132798477 5040011269 8229891819 11406341293 15120033807 19841057021 34219023879 44903444837 59523171063 82497026561 134710334511 216720484567 247491079683 650161453701 853165451903 1567443504659 2559496355709 3547372142123 4702330513977 10642116426369 67400070700337 202200212101011