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211301120221 = 2359678632693
BaseRepresentation
bin1100010011001010000…
…1110011100011011101
3202012101221100002000121
43010302201303203131
511430221041321341
6241023112154541
721160144613242
oct3046241634335
9665357302017
10211301120221
1181680a79084
1234b50398a51
1316c05747469
14a326d775c9
15576a6944d1
hex31328738dd

211301120221 has 32 divisors (see below), whose sum is σ = 227920158720. Its totient is φ = 195423564864.

The previous prime is 211301120209. The next prime is 211301120227. The reversal of 211301120221 is 122021103112.

211301120221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 211301120221 - 211 = 211301118173 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211301120195 and 211301120204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211301120227) 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, 78461751 + ... + 78464443.

It is an arithmetic number, because the mean of its divisors is an integer number (7122504960).

Almost surely, 2211301120221 is an apocalyptic number.

It is an amenable number.

211301120221 is a deficient number, since it is larger than the sum of its proper divisors (16619038499).

211301120221 is a wasteful number, since it uses less digits than its factorization.

211301120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3705.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 211301120221 its reverse (122021103112), we get a palindrome (333322223333).

The spelling of 211301120221 in words is "two hundred eleven billion, three hundred one million, one hundred twenty thousand, two hundred twenty-one".

Divisors: 1 23 59 67 863 1357 1541 2693 3953 19849 50917 57821 61939 90919 158887 180431 1171091 1329883 2324059 3411439 3654401 4149913 10645429 53453357 78463097 137119481 155711953 244844867 3153748063 3581374919 9187005227 211301120221