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222100022111121 = 327114742116197031
BaseRepresentation
bin110010011111111110110000…
…111011000010101110010001
31002010101112222102012010012100
4302133332300323002232101
5213102341321130023441
62104211201441351013
764532124410634060
oct6237766073025621
91063345872163170
10222100022111121
116484a0aa389720
1220ab0580038469
1396c0c330889cb
143cbb9ac6aa1d7
151aa24e8058cb6
hexc9ffb0ec2b91

222100022111121 has 96 divisors (see below), whose sum is σ = 409452676079616. Its totient is φ = 112653583056000.

The previous prime is 222100022111101. The next prime is 222100022111147. The reversal of 222100022111121 is 121111220001222.

222100022111121 is a `hidden beast` number, since 222 + 100 + 0 + 221 + 1 + 1 + 121 = 666.

It is not a de Polignac number, because 222100022111121 - 223 = 222100013722513 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 222100022111094 and 222100022111103.

It is not an unprimeable number, because it can be changed into a prime (222100022111101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5613876 + ... + 21810906.

It is an arithmetic number, because the mean of its divisors is an integer number (4265132042496).

Almost surely, 2222100022111121 is an apocalyptic number.

222100022111121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

222100022111121 is a deficient number, since it is larger than the sum of its proper divisors (187352653968495).

222100022111121 is a wasteful number, since it uses less digits than its factorization.

222100022111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16197523 (or 16197520 counting only the distinct ones).

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

Adding to 222100022111121 its reverse (121111220001222), we get a palindrome (343211242112343).

The spelling of 222100022111121 in words is "two hundred twenty-two trillion, one hundred billion, twenty-two million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 47 63 77 99 141 231 329 421 423 517 693 987 1263 1551 2947 2961 3619 3789 4631 4653 8841 10857 13893 19787 26523 32417 32571 41679 59361 97251 138509 178083 217657 291753 415527 652971 1246581 1523599 1958913 4570797 13712391 16197031 48591093 113379217 145773279 178167341 340137651 534502023 761260457 1020412953 1247171387 1603506069 2283781371 3741514161 5328823199 6818950051 6851344113 8373865027 11224542483 15986469597 20456850153 25121595081 47732650357 47959408791 58617055189 61370550459 75008450561 75364785243 143197951071 175851165567 225025351683 320490652397 429593853213 525059153927 527553496701 675076055049 961471957191 1575177461781 2243434566779 2884415871573 3525397176367 4725532385343 6730303700337 10576191529101 20190911101011 24677780234569 31728574587303 74033340703707 222100022111121