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211200201200021 = 1119432599263159
BaseRepresentation
bin110000000001010111100000…
…111110000001000110010101
31000200210112122011011102220212
4300001113200332001012111
5210140301003001400041
62025104011043335205
762325465604601135
oct6001274076010625
91020715564142825
10211200201200021
1161327558665a70
121b830020081505
1390b012a5b9667
143a22203c92ac5
151963c066b28eb
hexc015e0f81195

211200201200021 has 48 divisors (see below), whose sum is σ = 252506331072000. Its totient is φ = 174653509353120.

The previous prime is 211200201200011. The next prime is 211200201200029. The reversal of 211200201200021 is 120002102002112.

It is not a de Polignac number, because 211200201200021 - 218 = 211200200937877 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211200201199969 and 211200201200005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211200201200029) 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 47 ways as a sum of consecutive naturals, for example, 18168440 + ... + 27431598.

It is an arithmetic number, because the mean of its divisors is an integer number (5260548564000).

Almost surely, 2211200201200021 is an apocalyptic number.

It is an amenable number.

211200201200021 is a deficient number, since it is larger than the sum of its proper divisors (41306129871979).

211200201200021 is a wasteful number, since it uses less digits than its factorization.

211200201200021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9263334 (or 9263291 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211200201200021 its reverse (120002102002112), we get a palindrome (331202303202133).

The spelling of 211200201200021 in words is "two hundred eleven trillion, two hundred billion, two hundred one million, two hundred thousand, twenty-one".

Divisors: 1 11 19 43 59 209 473 649 817 1121 1849 2537 8987 12331 20339 27907 35131 48203 109091 386441 530233 1200001 2072729 9263159 22800019 101894749 176000021 398315837 546526381 1936000231 4381474207 6011790191 7568000903 10384001239 17127580991 23500634383 83248009933 114224013629 188403390901 258506978213 325424038829 446512053277 1010527278469 3579664427119 4911632586047 11115800063159 19200018290911 211200201200021