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222120101121 = 34313113994561
BaseRepresentation
bin1100111011011101100…
…0111100010100000001
3210020022221011020201220
43032313120330110001
512114400221213441
6250012432345253
722022225464512
oct3166730742401
9706287136656
10222120101121
1186223008606
123706b6a5229
1317c3b0020c9
14aa71ba6a09
155ba03c8466
hex33b763c501

222120101121 has 32 divisors (see below), whose sum is σ = 307561013760. Its totient is φ = 142498137600.

The previous prime is 222120101107. The next prime is 222120101171. The reversal of 222120101121 is 121101021222.

222120101121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 222120101121 - 215 = 222120068353 is a prime.

It is a super-3 number, since 3×2221201011213 (a number of 35 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 222120101121.

It is not an unprimeable number, because it can be changed into a prime (222120101171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2301681 + ... + 2396241.

It is an arithmetic number, because the mean of its divisors is an integer number (9611281680).

Almost surely, 2222120101121 is an apocalyptic number.

It is an amenable number.

222120101121 is a deficient number, since it is larger than the sum of its proper divisors (85440912639).

222120101121 is a wasteful number, since it uses less digits than its factorization.

222120101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94877.

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

Adding to 222120101121 its reverse (121101021222), we get a palindrome (343221122343).

The spelling of 222120101121 in words is "two hundred twenty-two billion, one hundred twenty million, one hundred one thousand, one hundred twenty-one".

Divisors: 1 3 43 129 131 139 393 417 5633 5977 16899 17931 18209 54627 94561 283683 782987 2348961 4066123 12198369 12387491 13143979 37162473 39431937 532662113 565191097 1597986339 1695573291 1721861249 5165583747 74040033707 222120101121