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211892832117 = 337847882671
BaseRepresentation
bin1100010101010111001…
…1000000011101110101
3202020221011202011011000
43011111303000131311
511432424031111432
6241201530433513
721210621232641
oct3052563003565
9666834664130
10211892832117
1181954a85a7a
1235096592899
1316c9b200745
14a3817a3c21
1557a25c657c
hex3155cc0775

211892832117 has 8 divisors (see below), whose sum is σ = 313915306880. Its totient is φ = 141261888060.

The previous prime is 211892832103. The next prime is 211892832143. The reversal of 211892832117 is 711238298112.

211892832117 is a `hidden beast` number, since 211 + 89 + 28 + 321 + 17 = 666.

211892832117 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 211892832117 - 24 = 211892832101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211892834117) 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 7 ways as a sum of consecutive naturals, for example, 3923941309 + ... + 3923941362.

It is an arithmetic number, because the mean of its divisors is an integer number (39239413360).

Almost surely, 2211892832117 is an apocalyptic number.

211892832117 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

211892832117 is a deficient number, since it is larger than the sum of its proper divisors (102022474763).

211892832117 is an equidigital number, since it uses as much as digits as its factorization.

211892832117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7847882680 (or 7847882674 counting only the distinct ones).

The product of its digits is 96768, while the sum is 45.

The spelling of 211892832117 in words is "two hundred eleven billion, eight hundred ninety-two million, eight hundred thirty-two thousand, one hundred seventeen".

Divisors: 1 3 9 27 7847882671 23543648013 70630944039 211892832117