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214131100 = 22522141311
BaseRepresentation
bin11001100001101…
…10000110011100
3112220220222122111
430300312012130
5414304143400
633125323404
75210040631
oct1460660634
9486828574
10214131100
11aa964957
125b866564
13354942c1
1420620188
1513beb3ba
hexcc3619c

214131100 has 18 divisors (see below), whose sum is σ = 464664704. Its totient is φ = 85652400.

The previous prime is 214131091. The next prime is 214131131. The reversal of 214131100 is 1131412.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1070556 + ... + 1070755.

Almost surely, 2214131100 is an apocalyptic number.

214131100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214131100 is an abundant number, since it is smaller than the sum of its proper divisors (250533604).

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

214131100 is a wasteful number, since it uses less digits than its factorization.

214131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141325 (or 2141318 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 214131100 is about 14633.2190580200. The cubic root of 214131100 is about 598.2645220708.

Adding to 214131100 its reverse (1131412), we get a palindrome (215262512).

The spelling of 214131100 in words is "two hundred fourteen million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2141311 4282622 8565244 10706555 21413110 42826220 53532775 107065550 214131100