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211230030 = 235111959571
BaseRepresentation
bin11001001011100…
…01110101001110
3112201110121010110
430211301311032
5413033330110
632543220450
75143265664
oct1445616516
9481417113
10211230030
11a9263280
125a8a7726
13349b99ab
14200a6c34
1513826a20
hexc971d4e

211230030 has 128 divisors (see below), whose sum is σ = 593049600. Its totient is φ = 47606400.

The previous prime is 211230023. The next prime is 211230037. The reversal of 211230030 is 30032112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (211230023) and next prime (211230037).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 211229988 and 211230015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211230037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 369645 + ... + 370215.

It is an arithmetic number, because the mean of its divisors is an integer number (4633200).

Almost surely, 2211230030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211230030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296524800).

211230030 is an abundant number, since it is smaller than the sum of its proper divisors (381819570).

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

211230030 is a wasteful number, since it uses less digits than its factorization.

211230030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 211230030 is about 14533.7548486274. The cubic root of 211230030 is about 595.5504451158.

Adding to 211230030 its reverse (30032112), we get a palindrome (241262142).

The spelling of 211230030 in words is "two hundred eleven million, two hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 59 66 95 110 114 118 165 177 190 209 285 295 330 354 418 570 571 590 627 649 885 1045 1121 1142 1254 1298 1713 1770 1947 2090 2242 2855 3135 3245 3363 3426 3894 5605 5710 6270 6281 6490 6726 8565 9735 10849 11210 12331 12562 16815 17130 18843 19470 21698 24662 31405 32547 33630 33689 36993 37686 54245 61655 62810 65094 67378 73986 94215 101067 108490 119339 123310 162735 168445 184965 188430 202134 238678 325470 336890 358017 369930 370579 505335 596695 640091 716034 741158 1010670 1111737 1193390 1280182 1790085 1852895 1920273 2223474 3200455 3580170 3705790 3840546 5558685 6400910 7041001 9601365 11117370 14082002 19202730 21123003 35205005 42246006 70410010 105615015 211230030