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211144414201 = 72941102124847
BaseRepresentation
bin1100010010100100110…
…0000001001111111001
3202012000000110120202221
43010221030001033321
511424410432223301
6240555353324041
721153232623340
oct3045114011771
9665000416687
10211144414201
1181600576576
1234b07a06621
1316bac13b0c6
14a310224b57
15575ba3cda1
hex31293013f9

211144414201 has 32 divisors (see below), whose sum is σ = 255978132480. Its totient is φ = 170304422400.

The previous prime is 211144414177. The next prime is 211144414223. The reversal of 211144414201 is 102414441112.

It is not a de Polignac number, because 211144414201 - 223 = 211136025593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211144414501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8485360 + ... + 8510206.

It is an arithmetic number, because the mean of its divisors is an integer number (7999316640).

Almost surely, 2211144414201 is an apocalyptic number.

It is an amenable number.

211144414201 is a deficient number, since it is larger than the sum of its proper divisors (44833718279).

211144414201 is a wasteful number, since it uses less digits than its factorization.

211144414201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25945.

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 211144414201 its reverse (102414441112), we get a palindrome (313558855313).

The spelling of 211144414201 in words is "two hundred eleven billion, one hundred forty-four million, four hundred fourteen thousand, two hundred one".

Divisors: 1 7 29 41 203 287 1021 1189 7147 8323 24847 29609 41861 173929 207263 293027 720563 1018727 1213969 5043941 7131089 8497783 25368787 29543083 177581509 206801581 735694823 1040120267 5149863761 7280841869 30163487743 211144414201