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200120211120221 = 7313119326387743
BaseRepresentation
bin101101100000001000011110…
…000110001010000001011101
3222020120022020121001200120022
4231200020132012022001131
5202212232143021321341
61545341542243001525
760103131250061000
oct5540103606120135
9866508217050508
10200120211120221
1158845561066197
121a5407799692a5
138788341124c52
14375bc27005537
1518208bc848e4b
hexb6021e18a05d

200120211120221 has 64 divisors (see below), whose sum is σ = 237277745971200. Its totient is φ = 168694425768960.

The previous prime is 200120211120161. The next prime is 200120211120239. The reversal of 200120211120221 is 122021112021002.

It is not a de Polignac number, because 200120211120221 - 210 = 200120211119197 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 200120211120221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200120211170221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2280710276 + ... + 2280798018.

It is an arithmetic number, because the mean of its divisors is an integer number (3707464780800).

Almost surely, 2200120211120221 is an apocalyptic number.

It is an amenable number.

200120211120221 is a deficient number, since it is larger than the sum of its proper divisors (37157534850979).

200120211120221 is a wasteful number, since it uses less digits than its factorization.

200120211120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88351 (or 88337 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 200120211120221 its reverse (122021112021002), we get a palindrome (322141323141223).

The spelling of 200120211120221 in words is "two hundred trillion, one hundred twenty billion, two hundred eleven million, one hundred twenty thousand, two hundred twenty-one".

Divisors: 1 7 49 131 193 263 343 917 1351 1841 6419 9457 12887 25283 34453 44933 50759 66199 87743 90209 176981 241171 355313 614201 1238867 1688197 2487191 4299407 6649429 8672069 11494333 11817379 16934399 17410337 23076409 30095849 46546003 80460331 118540793 161534863 325822021 563222317 829785551 1130744041 2218406269 2280754147 3023009579 3942556219 4453746937 5808498857 7915208287 15528843883 21161067053 31176228559 108701907181 148127469371 218233599913 583440848747 760913350267 1036892285597 1527635199391 4084085941229 28588601588603 200120211120221