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331222210101121 = 171936721727128603
BaseRepresentation
bin100101101001111101010111…
…0001011001011111110000001
31121102202112102022120111100111
41023103322232023023332001
5321403221041241213441
63132241214355351321
7126524005065465613
oct11323725613137601
91542675368514314
10331222210101121
11965a0606725339
12311950bbbb2541
13112a8174663921
145bb1351d3cdb3
152845cb3104081
hex12d3eae2cbf81

331222210101121 has 32 divisors (see below), whose sum is σ = 370189885685760. Its totient is φ = 294510695337216.

The previous prime is 331222210101119. The next prime is 331222210101151. The reversal of 331222210101121 is 121101012222133.

It is a happy number.

It is not a de Polignac number, because 331222210101121 - 21 = 331222210101119 is a prime.

It is a super-3 number, since 3×3312222101011213 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 331222210101092 and 331222210101101.

It is not an unprimeable number, because it can be changed into a prime (331222210101151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2575476006 + ... + 2575604608.

It is an arithmetic number, because the mean of its divisors is an integer number (11568433927680).

Almost surely, 2331222210101121 is an apocalyptic number.

It is an amenable number.

331222210101121 is a deficient number, since it is larger than the sum of its proper divisors (38967675584639).

331222210101121 is a wasteful number, since it uses less digits than its factorization.

331222210101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150733.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 331222210101121 its reverse (121101012222133), we get a palindrome (452323222323254).

The spelling of 331222210101121 in words is "three hundred thirty-one trillion, two hundred twenty-two billion, two hundred ten million, one hundred one thousand, one hundred twenty-one".

Divisors: 1 17 19 323 367 6239 6973 21727 118541 128603 369359 412813 2186251 2443457 7017821 7973809 41538769 47197301 135554753 151502371 802354117 896748719 2575540307 2794157381 15244728223 47500675477 53088990239 902512834063 1025455758827 17432747900059 19483659417713 331222210101121