Search a number
-
+
112002202021221 = 32192173199264873
BaseRepresentation
bin11001011101110110001011…
…011101110010110101100101
3112200120022021000212220022200
4121131312023131302311211
5104140021002204134341
61034113033513445113
732406614656062561
oct3135661335626545
9480508230786280
10112002202021221
113276195a171126
121068a93aa10799
134a659baac4165
141d92d150366a1
15ce367abaadb6
hex65dd8b772d65

112002202021221 has 36 divisors (see below), whose sum is σ = 171730852240428. Its totient is φ = 70329340983168.

The previous prime is 112002202021217. The next prime is 112002202021271. The reversal of 112002202021221 is 122120202200211.

It is a happy number.

112002202021221 is a `hidden beast` number, since 1 + 1 + 20 + 0 + 220 + 202 + 1 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62772122568996 + 49230079452225 = 7922886^2 + 7016415^2 .

It is not a de Polignac number, because 112002202021221 - 22 = 112002202021217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112002202021194 and 112002202021203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112002202021271) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 99070360 + ... + 100194513.

It is an arithmetic number, because the mean of its divisors is an integer number (4770301451123).

Almost surely, 2112002202021221 is an apocalyptic number.

It is an amenable number.

112002202021221 is a deficient number, since it is larger than the sum of its proper divisors (59728650219207).

112002202021221 is a wasteful number, since it uses less digits than its factorization.

112002202021221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199265090 (or 199265068 counting only the distinct ones).

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

Adding to 112002202021221 its reverse (122120202200211), we get a palindrome (234122404221432).

The spelling of 112002202021221 in words is "one hundred twelve trillion, two billion, two hundred two million, twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 19 57 171 173 361 519 1083 1557 3249 3287 9861 29583 62453 187359 562077 199264873 597794619 1793383857 3786032587 11358097761 34074293283 34472823029 71934619153 103418469087 215803857459 310255407261 647411572377 654983637551 1964950912653 5894852737959 12444689113469 37334067340407 112002202021221