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211103300 = 225219137811
BaseRepresentation
bin11001001010100…
…10111001000100
3112201020011021202
430211102321010
5413020301200
632540402032
75142230342
oct1445227104
9481204252
10211103300
11a9187041
125a846318
13349740c5
1420072992
15137ee1d5
hexc952e44

211103300 has 72 divisors (see below), whose sum is σ = 486323040. Its totient is φ = 79315200.

The previous prime is 211103261. The next prime is 211103303. The reversal of 211103300 is 3301112.

211103300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (211103303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259895 + ... + 260705.

Almost surely, 2211103300 is an apocalyptic number.

211103300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243161520).

211103300 is an abundant number, since it is smaller than the sum of its proper divisors (275219740).

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

211103300 is a wasteful number, since it uses less digits than its factorization.

211103300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 211103300 is about 14529.3943438810. The cubic root of 211103300 is about 595.4313187353.

Adding to 211103300 its reverse (3301112), we get a palindrome (214404412).

The spelling of 211103300 in words is "two hundred eleven million, one hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 137 190 274 380 475 548 685 811 950 1370 1622 1900 2603 2740 3244 3425 4055 5206 6850 8110 10412 13015 13700 15409 16220 20275 26030 30818 40550 52060 61636 65075 77045 81100 111107 130150 154090 222214 260300 308180 385225 444428 555535 770450 1111070 1540900 2111033 2222140 2777675 4222066 5555350 8444132 10555165 11110700 21110330 42220660 52775825 105551650 211103300