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202021222101012 = 2232101473311739149
BaseRepresentation
bin101101111011110010111011…
…001011100011000000010100
3222111022001002022121100012200
4231323302323023203000110
5202434403430324213022
61553355133533444500
760360360132564306
oct5573627313430024
9874261068540180
10202021222101012
11594087a0214796
121a7a9096640730
13889569a45cb72
1437c5c44bdd976
15185508023bbac
hexb7bcbb2e3014

202021222101012 has 72 divisors (see below), whose sum is σ = 515829849280200. Its totient is φ = 66659578003200.

The previous prime is 202021222101011. The next prime is 202021222101019. The reversal of 202021222101012 is 210101222120202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7172733814416 + 194848488286596 = 2678196^2 + 13958814^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202021222101011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11339614 + ... + 23078762.

It is an arithmetic number, because the mean of its divisors is an integer number (7164303462225).

Almost surely, 2202021222101012 is an apocalyptic number.

It is an amenable number.

202021222101012 is an abundant number, since it is smaller than the sum of its proper divisors (313808627179188).

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

202021222101012 is a wasteful number, since it uses less digits than its factorization.

202021222101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11743993 (or 11743988 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202021222101012 its reverse (210101222120202), we get a palindrome (412122444221214).

The spelling of 202021222101012 in words is "two hundred two trillion, twenty-one billion, two hundred twenty-two million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 4733 9466 14199 18932 28398 42597 56796 85194 170388 478033 956066 1434099 1912132 2868198 4302297 5736396 8604594 11739149 17209188 23478298 35217447 46956596 70434894 105652341 140869788 211304682 422609364 1185654049 2371308098 3556962147 4742616196 7113924294 10670886441 14227848588 21341772882 42683545764 55561392217 111122784434 166684176651 222245568868 333368353302 500052529953 666736706604 1000105059906 2000210119812 5611700613917 11223401227834 16835101841751 22446802455668 33670203683502 50505305525253 67340407367004 101010611050506 202021222101012