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211141104 = 24323191251
BaseRepresentation
bin11001001010111…
…00000111110000
3112201022002010220
430211130013300
5413023003404
632541253040
75142445506
oct1445340760
9481262126
10211141104
11a9202489
125a864180
1334988385
1420082676
151380a4d9
hexc95c1f0

211141104 has 40 divisors (see below), whose sum is σ = 569165952. Its totient is φ = 67320000.

The previous prime is 211141097. The next prime is 211141109. The reversal of 211141104 is 401141112.

Adding to 211141104 its reverse (401141112), we get a palindrome (612282216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211141109) 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 7 ways as a sum of consecutive naturals, for example, 94522 + ... + 96729.

Almost surely, 2211141104 is an apocalyptic number.

211141104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

211141104 is an abundant number, since it is smaller than the sum of its proper divisors (358024848).

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

211141104 is a wasteful number, since it uses less digits than its factorization.

211141104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191285 (or 191279 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 211141104 is about 14530.6952345715. The cubic root of 211141104 is about 595.4668595377.

The spelling of 211141104 in words is "two hundred eleven million, one hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 191251 382502 573753 765004 1147506 1530008 2295012 3060016 4398773 4590024 8797546 9180048 13196319 17595092 26392638 35190184 52785276 70380368 105570552 211141104