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211322432101 = 113417353047
BaseRepresentation
bin1100010011001111001…
…1000110101001100101
3202012110102102211102111
43010303303012221211
511430242020311401
6241025153041021
721160524015064
oct3046363065145
9665412384374
10211322432101
1181692005000
1234b57556171
1316c09c99a41
14a329b241db
15576c4a3e51
hex3133cc6a65

211322432101 has 32 divisors (see below), whose sum is σ = 241374341376. Its totient is φ = 184854700800.

The previous prime is 211322432089. The next prime is 211322432129. The reversal of 211322432101 is 101234223112.

211322432101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211322432101 - 27 = 211322431973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211322412101) 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 31 ways as a sum of consecutive naturals, for example, 3957160 + ... + 4010206.

It is an arithmetic number, because the mean of its divisors is an integer number (7542948168).

Almost surely, 2211322432101 is an apocalyptic number.

It is an amenable number.

211322432101 is a deficient number, since it is larger than the sum of its proper divisors (30051909275).

211322432101 is an equidigital number, since it uses as much as digits as its factorization.

211322432101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53194 (or 53172 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 211322432101 its reverse (101234223112), we get a palindrome (312556655213).

The spelling of 211322432101 in words is "two hundred eleven billion, three hundred twenty-two million, four hundred thirty-two thousand, one hundred one".

Divisors: 1 11 41 73 121 451 803 1331 2993 4961 8833 32923 53047 54571 97163 362153 583517 2174927 3872431 3983683 6418687 23924197 42596741 70605557 158769671 263166167 468564151 1746466381 2894827837 5154205661 19211130191 211322432101