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211063104 = 2633717449
BaseRepresentation
bin11001001010010…
…01000101000000
3112201011010011000
430211021011000
5413013004404
632535452000
75142002220
oct1445110500
9481133130
10211063104
11a915991a
125a827000
133495ba15
1420062080
15137e2339
hexc949140

211063104 has 112 divisors (see below), whose sum is σ = 709168000. Its totient is φ = 60300288.

The previous prime is 211063103. The next prime is 211063129. The reversal of 211063104 is 401360112.

It is a happy number.

211063104 is a `hidden beast` number, since 21 + 10 + 631 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×2110631042 = 89095267740229632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211063103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3372 + ... + 20820.

Almost surely, 2211063104 is an apocalyptic number.

211063104 is a gapful number since it is divisible by the number (24) 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 211063104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354584000).

211063104 is an abundant number, since it is smaller than the sum of its proper divisors (498104896).

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

211063104 is a wasteful number, since it uses less digits than its factorization.

211063104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17477 (or 17461 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 211063104 is about 14528.0110132117. The cubic root of 211063104 is about 595.3935244792.

The spelling of 211063104 in words is "two hundred eleven million, sixty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 17449 34898 52347 69796 104694 122143 139592 157041 209388 244286 279184 314082 366429 418776 471123 488572 558368 628164 732858 837552 942246 977144 1099287 1116736 1256328 1465716 1675104 1884492 1954288 2198574 2512656 2931432 3297861 3350208 3768984 3908576 4397148 5025312 5862864 6595722 7537968 7817152 8794296 10050624 11725728 13191444 15075936 17588592 23451456 26382888 30151872 35177184 52765776 70354368 105531552 211063104