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200100221232021 = 321119412594626901
BaseRepresentation
bin101101011111110101110110…
…100110110010001110010101
3222020111101122110120011002200
4231133311312212302032111
5202211420223113411041
61545324434514155113
760101523006610365
oct5537656646621625
9866441573504080
10200100221232021
1158838033313330
121a53891b282a99
1387864a687aa36
14375ac8c1d29a5
1518200ec9291b6
hexb5fd769b2395

200100221232021 has 48 divisors (see below), whose sum is σ = 339999909238080. Its totient is φ = 112087882080000.

The previous prime is 200100221232001. The next prime is 200100221232049. The reversal of 200100221232021 is 120232122001002.

200100221232021 is a `hidden beast` number, since 2 + 0 + 0 + 100 + 221 + 2 + 320 + 21 = 666.

It is not a de Polignac number, because 200100221232021 - 213 = 200100221223829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200100221231985 and 200100221232003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200100221232001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1297236330 + ... + 1297390571.

It is an arithmetic number, because the mean of its divisors is an integer number (7083331442460).

Almost surely, 2200100221232021 is an apocalyptic number.

It is an amenable number.

200100221232021 is a deficient number, since it is larger than the sum of its proper divisors (139899688006059).

200100221232021 is a wasteful number, since it uses less digits than its factorization.

200100221232021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594626978 (or 2594626975 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 200100221232021 its reverse (120232122001002), we get a palindrome (320332343233023).

The spelling of 200100221232021 in words is "two hundred trillion, one hundred billion, two hundred twenty-one million, two hundred thirty-two thousand, twenty-one".

Divisors: 1 3 9 11 19 33 41 57 99 123 171 209 369 451 627 779 1353 1881 2337 4059 7011 8569 25707 77121 2594626901 7783880703 23351642109 28540895911 49297911119 85622687733 106379702941 147893733357 256868063199 319139108823 443681200071 542277022309 957417326469 1170176732351 1626831066927 2021214355879 3510530197053 4880493200781 6063643067637 10531590591159 18190929202911 22233357914669 66700073744007 200100221232021