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211200200309993 is a prime number
BaseRepresentation
bin110000000001010111100000…
…111010100111110011101001
31000200210112122002111020000212
4300001113200322213303221
5210140301002234404433
62025104011012310505
762325465564203246
oct6001274072476351
91020715562436025
10211200200309993
1161327558108304
121b83001b912435
1390b012a36750b
143a22203b005cd
151963c06588d48
hexc015e0ea7ce9

211200200309993 has 2 divisors, whose sum is σ = 211200200309994. Its totient is φ = 211200200309992.

The previous prime is 211200200309929. The next prime is 211200200310017. The reversal of 211200200309993 is 399903002002112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 134678067487744 + 76522132822249 = 11605088^2 + 8747693^2 .

It is a cyclic number.

It is not a de Polignac number, because 211200200309993 - 26 = 211200200309929 is a prime.

It is a super-2 number, since 2×2112002003099932 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211200200309993.

It is not a weakly prime, because it can be changed into another prime (211200200305993) 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 as a sum of consecutive naturals, namely, 105600100154996 + 105600100154997.

It is an arithmetic number, because the mean of its divisors is an integer number (105600100154997).

Almost surely, 2211200200309993 is an apocalyptic number.

It is an amenable number.

211200200309993 is a deficient number, since it is larger than the sum of its proper divisors (1).

211200200309993 is an equidigital number, since it uses as much as digits as its factorization.

211200200309993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52488, while the sum is 41.

The spelling of 211200200309993 in words is "two hundred eleven trillion, two hundred billion, two hundred million, three hundred nine thousand, nine hundred ninety-three".