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211112120109 = 311139283162629
BaseRepresentation
bin1100010010011101000…
…0110100111100101101
3202011220202200212121110
43010213100310330231
511424324200320414
6240552241222233
721152361261432
oct3044720647455
9664822625543
10211112120109
1181594319540
1234ab9031979
1316ba5541b87
14a309c19b89
155758cae459
hex3127434f2d

211112120109 has 32 divisors (see below), whose sum is σ = 310376102400. Its totient is φ = 126576624960.

The previous prime is 211112120083. The next prime is 211112120143. The reversal of 211112120109 is 901021211112.

211112120109 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 211112120109 - 29 = 211112119597 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211112121109) 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, 1216807 + ... + 1379435.

It is an arithmetic number, because the mean of its divisors is an integer number (9699253200).

Almost surely, 2211112120109 is an apocalyptic number.

It is an amenable number.

211112120109 is a deficient number, since it is larger than the sum of its proper divisors (99263982291).

211112120109 is a wasteful number, since it uses less digits than its factorization.

211112120109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163065.

The product of its (nonzero) digits is 72, while the sum is 21.

The spelling of 211112120109 in words is "two hundred eleven billion, one hundred twelve million, one hundred twenty thousand, one hundred nine".

Divisors: 1 3 11 33 139 283 417 849 1529 3113 4587 9339 39337 118011 162629 432707 487887 1298121 1788919 5366757 22605431 46024007 67816293 138072021 248659741 506264077 745979223 1518792231 6397336973 19192010919 70370706703 211112120109