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212133141 = 33114391627
BaseRepresentation
bin11001010010011…
…10010100010101
3112210011110222000
430221032110111
5413301230031
633014425513
75154046653
oct1451162425
9483143860
10212133141
11a981a850
125b062299
1334c44a8c
142025ddd3
15139543e6
hexca4e515

212133141 has 32 divisors (see below), whose sum is σ = 343833600. Its totient is φ = 128193840.

The previous prime is 212133127. The next prime is 212133149. The reversal of 212133141 is 141331212.

It is not a de Polignac number, because 212133141 - 29 = 212132629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212133149) 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 31 ways as a sum of consecutive naturals, for example, 129570 + ... + 131196.

It is an arithmetic number, because the mean of its divisors is an integer number (10744800).

Almost surely, 2212133141 is an apocalyptic number.

It is an amenable number.

212133141 is a deficient number, since it is larger than the sum of its proper divisors (131700459).

212133141 is a wasteful number, since it uses less digits than its factorization.

212133141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 2080 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 212133141 is about 14564.7911416539. The cubic root of 212133141 is about 596.3979941959.

Adding to 212133141 its reverse (141331212), we get a palindrome (353464353).

The spelling of 212133141 in words is "two hundred twelve million, one hundred thirty-three thousand, one hundred forty-one".

Divisors: 1 3 9 11 27 33 99 297 439 1317 1627 3951 4829 4881 11853 14487 14643 17897 43461 43929 53691 130383 161073 483219 714253 2142759 6428277 7856783 19284831 23570349 70711047 212133141