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211120191553 is a prime number
BaseRepresentation
bin1100010010011110111…
…1100111100001000001
3202011221022212221112211
43010213233213201001
511424333232112203
6240553130222121
721152520006355
oct3044757474101
9664838787484
10211120191553
1181598931757
1234abb884941
1316ba710998b
14a30ad1b465
155759855c6d
hex3127be7841

211120191553 has 2 divisors, whose sum is σ = 211120191554. Its totient is φ = 211120191552.

The previous prime is 211120191523. The next prime is 211120191577. The reversal of 211120191553 is 355191021112.

211120191553 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 173862313024 + 37257878529 = 416968^2 + 193023^2 .

It is a cyclic number.

It is not a de Polignac number, because 211120191553 - 29 = 211120191041 is a prime.

It is not a weakly prime, because it can be changed into another prime (211120191523) 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 as a sum of consecutive naturals, namely, 105560095776 + 105560095777.

It is an arithmetic number, because the mean of its divisors is an integer number (105560095777).

Almost surely, 2211120191553 is an apocalyptic number.

It is an amenable number.

211120191553 is a deficient number, since it is larger than the sum of its proper divisors (1).

211120191553 is an equidigital number, since it uses as much as digits as its factorization.

211120191553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2700, while the sum is 31.

The spelling of 211120191553 in words is "two hundred eleven billion, one hundred twenty million, one hundred ninety-one thousand, five hundred fifty-three".