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211383100 = 225217124343
BaseRepresentation
bin11001001100101…
…11001100111100
3112201202101002201
430212113030330
5413103224400
632550401244
75144504155
oct1446271474
9481671081
10211383100
11a9358285
125a960224
1334a41576
142010692c
151385706a
hexc99733c

211383100 has 36 divisors (see below), whose sum is σ = 485687664. Its totient is φ = 79578880.

The previous prime is 211383097. The next prime is 211383103. The reversal of 211383100 is 1383112.

211383100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211383097) and next prime (211383103).

It is a super-2 number, since 2×2113831002 = 89365629931220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211383103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60472 + ... + 63871.

It is an arithmetic number, because the mean of its divisors is an integer number (13491324).

Almost surely, 2211383100 is an apocalyptic number.

211383100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211383100 is an abundant number, since it is smaller than the sum of its proper divisors (274304564).

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

211383100 is a wasteful number, since it uses less digits than its factorization.

211383100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124374 (or 124367 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 211383100 is about 14539.0199119473. The cubic root of 211383100 is about 595.6942676194.

The spelling of 211383100 in words is "two hundred eleven million, three hundred eighty-three thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 124343 248686 497372 621715 1243430 2113831 2486860 3108575 4227662 6217150 8455324 10569155 12434300 21138310 42276620 52845775 105691550 211383100