Search a number
-
+
12203321010021 = 331997307798823
BaseRepresentation
bin1011000110010100111010…
…0111010010011101100101
31121012121220102102120121000
42301211032213102131211
53044414400134310041
641542043412543513
72366442446045331
oct261451647223545
947177812376530
1012203321010021
11398544362aa89
121451103621b99
136a69caa6913b
14302902b887c1
15162682be7bb6
hexb194e9d2765

12203321010021 has 64 divisors (see below), whose sum is σ = 19289362892800. Its totient is φ = 7603047203328.

The previous prime is 12203321010017. The next prime is 12203321010047. The reversal of 12203321010021 is 12001012330221.

12203321010021 is a `hidden beast` number, since 1 + 220 + 3 + 321 + 0 + 100 + 21 = 666.

It is not a de Polignac number, because 12203321010021 - 22 = 12203321010017 is a prime.

It is a super-3 number, since 3×122033210100213 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12203321009976 and 12203321010003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12203321010121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14877216 + ... + 15676038.

It is an arithmetic number, because the mean of its divisors is an integer number (301396295200).

Almost surely, 212203321010021 is an apocalyptic number.

It is an amenable number.

12203321010021 is a deficient number, since it is larger than the sum of its proper divisors (7086041882779).

12203321010021 is a wasteful number, since it uses less digits than its factorization.

12203321010021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799255 (or 799249 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12203321010021 its reverse (12001012330221), we get a palindrome (24204333340242).

The spelling of 12203321010021 in words is "twelve trillion, two hundred three billion, three hundred twenty-one million, ten thousand, twenty-one".

Divisors: 1 3 9 19 27 57 97 171 291 307 513 873 921 1843 2619 2763 5529 5833 8289 16587 17499 29779 49761 52497 89337 157491 268011 565801 798823 804033 1697403 2396469 5092209 7189407 15177637 15276627 21568221 45532911 77485831 136598733 232457493 245238661 409796199 697372479 735715983 1472230789 2092117437 2207147949 4416692367 4659534559 6621443847 13250077101 13978603677 23788150117 39750231303 41935811031 71364450351 125807433093 214093351053 451974852223 642280053159 1355924556669 4067773670007 12203321010021