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222120101221101 = 32977392339147197
BaseRepresentation
bin110010100000010001011101…
…101110110001001011101101
31002010110110210202120120221100
4302200101131232301023231
5213103203431403033401
62104224322114353313
764533435113356236
oct6240213556611355
91063413722516840
10222120101221101
1164857673531196
1220ab444458b839
1396c2ab2c71885
143cbc9552a608d
151aa2cc0beeb86
hexca045dbb12ed

222120101221101 has 48 divisors (see below), whose sum is σ = 324727384363200. Its totient is φ = 146291590093824.

The previous prime is 222120101221087. The next prime is 222120101221157. The reversal of 222120101221101 is 101122101021222.

222120101221101 is a `hidden beast` number, since 2 + 221 + 20 + 101 + 221 + 101 = 666.

222120101221101 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 222120101221101 - 26 = 222120101221037 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222120101228101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1508925235 + ... + 1509072431.

It is an arithmetic number, because the mean of its divisors is an integer number (6765153840900).

Almost surely, 2222120101221101 is an apocalyptic number.

It is an amenable number.

222120101221101 is a deficient number, since it is larger than the sum of its proper divisors (102607283142099).

222120101221101 is a wasteful number, since it uses less digits than its factorization.

222120101221101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150378 (or 150375 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 222120101221101 its reverse (101122101021222), we get a palindrome (323242202242323).

The spelling of 222120101221101 in words is "two hundred twenty-two trillion, one hundred twenty billion, one hundred one million, two hundred twenty-one thousand, one hundred one".

Divisors: 1 3 9 97 291 739 873 2217 2339 6651 7017 21051 71683 147197 215049 226883 441591 645147 680649 1324773 1728521 2041947 5185563 14278109 15556689 42834327 108778583 128502981 167666537 326335749 344293783 502999611 979007247 1032881349 1508998833 3098644047 10551522551 31654567653 33396496951 94963702959 100189490853 254433105637 300568472559 763299316911 2289897950733 24680011246789 74040033740367 222120101221101