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220222112121 = 33112518929437
BaseRepresentation
bin1100110100011001000…
…0101100000101111001
3210001102122202102022000
43031012100230011321
512102003330041441
6245100232051213
721624211032054
oct3150620540571
9701378672260
10220222112121
1185439706360
123681bb33b09
13179c7a239ab
14a931aa3a9b
155add9662b6
hex334642c179

220222112121 has 32 divisors (see below), whose sum is σ = 355940745600. Its totient is φ = 133458114240.

The previous prime is 220222112111. The next prime is 220222112161. The reversal of 220222112121 is 121211222022.

It is a happy number.

220222112121 is a `hidden beast` number, since 220 + 22 + 211 + 212 + 1 = 666.

It is not a de Polignac number, because 220222112121 - 215 = 220222079353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220222112094 and 220222112103.

It is not an unprimeable number, because it can be changed into a prime (220222112111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7466415 + ... + 7495851.

It is an arithmetic number, because the mean of its divisors is an integer number (11123148300).

Almost surely, 2220222112121 is an apocalyptic number.

It is an amenable number.

220222112121 is a deficient number, since it is larger than the sum of its proper divisors (135718633479).

220222112121 is a wasteful number, since it uses less digits than its factorization.

220222112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54646 (or 54640 counting only the distinct ones).

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

Adding to 220222112121 its reverse (121211222022), we get a palindrome (341433334143).

The spelling of 220222112121 in words is "two hundred twenty billion, two hundred twenty-two million, one hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 9 11 27 33 99 297 25189 29437 75567 88311 226701 264933 277079 323807 680103 794799 831237 971421 2493711 2914263 7481133 8742789 741488593 2224465779 6673397337 8156374523 20020192011 24469123569 73407370707 220222112121