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211032223310331 = 3516214871109987
BaseRepresentation
bin101111111110111011000100…
…101101001110000111111011
31000200012111001111010111200000
4233332323010231032013323
5210130022443131412311
62024454510502244043
762310401136233253
oct5776730455160773
91020174044114600
10211032223310331
1161272299507245
121b803560726623
13909a33a57b767
143a1802a9cc963
15195e674646056
hexbfeec4b4e1fb

211032223310331 has 48 divisors (see below), whose sum is σ = 316376937746688. Its totient is φ = 140571214840800.

The previous prime is 211032223310273. The next prime is 211032223310341. The reversal of 211032223310331 is 133013322230112.

211032223310331 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 322 + 2 + 3 + 3 + 1 + 0 + 331 = 666.

It is not a de Polignac number, because 211032223310331 - 217 = 211032223179259 is a prime.

It is a super-2 number, since 2×2110322233103312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 211032223310295 and 211032223310304.

It is not an unprimeable number, because it can be changed into a prime (211032223310341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1918646520 + ... + 1918756506.

It is an arithmetic number, because the mean of its divisors is an integer number (6591186203056).

Almost surely, 2211032223310331 is an apocalyptic number.

211032223310331 is a deficient number, since it is larger than the sum of its proper divisors (105344714436357).

211032223310331 is a wasteful number, since it uses less digits than its factorization.

211032223310331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116494 (or 116482 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 211032223310331 its reverse (133013322230112), we get a palindrome (344045545540443).

The spelling of 211032223310331 in words is "two hundred eleven trillion, thirty-two billion, two hundred twenty-three million, three hundred ten thousand, three hundred thirty-one".

Divisors: 1 3 9 27 81 243 1621 4863 4871 14589 14613 43767 43839 109987 131301 131517 329961 393903 394551 989883 1183653 2969649 7895891 8908947 23687673 26726841 71063019 178288927 213189057 534866781 535746677 639567171 1604600343 1607240031 1918701513 4813801029 4821720093 14441403087 14465160279 43324209261 43395480837 130186442511 868445363417 2605336090251 7816008270753 23448024812259 70344074436777 211032223310331