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211112120199 = 3199293986783
BaseRepresentation
bin1100010010011101000…
…0110100111110000111
3202011220202200212201210
43010213100310332013
511424324200321244
6240552241222503
721152361261621
oct3044720647607
9664822625653
10211112120199
1181594319612
1234ab9031a33
1316ba5541c26
14a309c19c11
155758cae4b9
hex3127434f87

211112120199 has 16 divisors (see below), whose sum is σ = 296616729600. Its totient is φ = 133190413056.

The previous prime is 211112120173. The next prime is 211112120257. The reversal of 211112120199 is 991021211112.

211112120199 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 211112120199 - 27 = 211112120071 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211112120399) 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 15 ways as a sum of consecutive naturals, for example, 1940439 + ... + 2046344.

It is an arithmetic number, because the mean of its divisors is an integer number (18538545600).

Almost surely, 2211112120199 is an apocalyptic number.

211112120199 is a deficient number, since it is larger than the sum of its proper divisors (85504609401).

211112120199 is a wasteful number, since it uses less digits than its factorization.

211112120199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3987734.

The product of its (nonzero) digits is 648, while the sum is 30.

The spelling of 211112120199 in words is "two hundred eleven billion, one hundred twelve million, one hundred twenty thousand, one hundred ninety-nine".

Divisors: 1 3 19 57 929 2787 17651 52953 3986783 11960349 75748877 227246631 3703721407 11111164221 70370706733 211112120199