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211141300 = 225219111127
BaseRepresentation
bin11001001010111…
…00001010110100
3112201022002102011
430211130022310
5413023010200
632541254004
75142446206
oct1445341264
9481262364
10211141300
11a9202647
125a864304
13349884a6
1420082776
151380a5ba
hexc95c2b4

211141300 has 36 divisors (see below), whose sum is σ = 482295520. Its totient is φ = 80010720.

The previous prime is 211141289. The next prime is 211141303. The reversal of 211141300 is 3141112.

211141300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211141303) 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 11 ways as a sum of consecutive naturals, for example, 53664 + ... + 57463.

Almost surely, 2211141300 is an apocalyptic number.

211141300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211141300 is an abundant number, since it is smaller than the sum of its proper divisors (271154220).

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

211141300 is a wasteful number, since it uses less digits than its factorization.

211141300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111160 (or 111153 counting only the distinct ones).

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

The square root of 211141300 is about 14530.7019789135. The cubic root of 211141300 is about 595.4670437928.

Adding to 211141300 its reverse (3141112), we get a palindrome (214282412).

The spelling of 211141300 in words is "two hundred eleven million, one hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 111127 222254 444508 555635 1111270 2111413 2222540 2778175 4222826 5556350 8445652 10557065 11112700 21114130 42228260 52785325 105570650 211141300