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212141000 = 2353212141
BaseRepresentation
bin11001010010100…
…00001111001000
3112210011212202002
430221100033020
5413302003000
633014530132
75154111611
oct1451201710
9483155662
10212141000
11a9825745
125b066948
1334c48526
1420262c08
15139568d5
hexca503c8

212141000 has 32 divisors (see below), whose sum is σ = 496412280. Its totient is φ = 84856000.

The previous prime is 212140997. The next prime is 212141021. The reversal of 212141000 is 141212.

It can be written as a sum of positive squares in 4 ways, for example, as 90744676 + 121396324 = 9526^2 + 11018^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105071 + ... + 107070.

Almost surely, 2212141000 is an apocalyptic number.

212141000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212141000 is an abundant number, since it is smaller than the sum of its proper divisors (284271280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212141000 is a wasteful number, since it uses less digits than its factorization.

212141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212162 (or 212148 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 212141000 is about 14565.0609336178. The cubic root of 212141000 is about 596.4053591208.

Adding to 212141000 its reverse (141212), we get a palindrome (212282212).

The spelling of 212141000 in words is "two hundred twelve million, one hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 212141 424282 848564 1060705 1697128 2121410 4242820 5303525 8485640 10607050 21214100 26517625 42428200 53035250 106070500 212141000