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222132101121 = 32754112295303
BaseRepresentation
bin1100111011100000011…
…0101110000000000001
3210020100202201220122100
43032320012232000001
512114411304213441
6250013541501013
722022432464110
oct3167006560001
9706322656570
10222132101121
1186229864367
1237073711769
1317c406440b8
14aa7360bc77
155ba1498cb6
hex33b81ae001

222132101121 has 48 divisors (see below), whose sum is σ = 367740322560. Its totient is φ = 126571040640.

The previous prime is 222132101101. The next prime is 222132101129. The reversal of 222132101121 is 121101231222.

222132101121 is a `hidden beast` number, since 2 + 221 + 321 + 0 + 1 + 121 = 666.

It is not a de Polignac number, because 222132101121 - 25 = 222132101089 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 222132101094 and 222132101103.

It is not an unprimeable number, because it can be changed into a prime (222132101129) 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, 41885356 + ... + 41890658.

It is an arithmetic number, because the mean of its divisors is an integer number (7661256720).

Almost surely, 2222132101121 is an apocalyptic number.

222132101121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

222132101121 is a deficient number, since it is larger than the sum of its proper divisors (145608221439).

222132101121 is a wasteful number, since it uses less digits than its factorization.

222132101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7086 (or 7083 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 222132101121 its reverse (121101231222), we get a palindrome (343233332343).

The spelling of 222132101121 in words is "two hundred twenty-two billion, one hundred thirty-two million, one hundred one thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 63 541 1229 1623 3687 3787 4869 5303 8603 11061 11361 15909 25809 34083 37121 47727 77427 111363 334089 664889 1994667 2868923 4654223 5984001 6517387 8606769 13962669 19552161 20082461 25820307 41888007 45621709 58656483 60247383 136865127 180742149 410595381 3525906367 10577719101 24681344569 31733157303 74044033707 222132101121