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212132123 = 73896949
BaseRepresentation
bin11001010010011…
…10000100011011
3112210011102120022
430221032010123
5413301211443
633014421055
75154044000
oct1451160433
9483142508
10212132123
11a981a005
125b06178b
1334c44488
142025d8a7
1513953e68
hexca4e11b

212132123 has 16 divisors (see below), whose sum is σ = 250200000. Its totient is φ = 179758656.

The previous prime is 212132119. The next prime is 212132153. The reversal of 212132123 is 321231212.

It is not a de Polignac number, because 212132123 - 22 = 212132119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212132153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27053 + ... + 34001.

It is an arithmetic number, because the mean of its divisors is an integer number (15637500).

Almost surely, 2212132123 is an apocalyptic number.

212132123 is a deficient number, since it is larger than the sum of its proper divisors (38067877).

212132123 is an frugal number, since it uses more digits than its factorization.

212132123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7059 (or 7045 counting only the distinct ones).

The product of its digits is 144, while the sum is 17.

The square root of 212132123 is about 14564.7561943206. The cubic root of 212132123 is about 596.3970401816.

Adding to 212132123 its reverse (321231212), we get a palindrome (533363335).

The spelling of 212132123 in words is "two hundred twelve million, one hundred thirty-two thousand, one hundred twenty-three".

Divisors: 1 7 49 89 343 623 4361 6949 30527 48643 340501 618461 2383507 4329227 30304589 212132123