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30111200 = 2552719283
BaseRepresentation
bin111001011011…
…1010111100000
32002122210210122
41302313113200
530202024300
62553215412
7513640520
oct162672740
962583718
1030111200
1115aa6a99
12a101568
1363137a2
143ddb680
15299bc85
hex1cb75e0

30111200 has 144 divisors (see below), whose sum is σ = 88744320. Its totient is φ = 9745920.

The previous prime is 30111197. The next prime is 30111217. The reversal of 30111200 is 211103.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106259 + ... + 106541.

It is an arithmetic number, because the mean of its divisors is an integer number (616280).

Almost surely, 230111200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44372160).

30111200 is an abundant number, since it is smaller than the sum of its proper divisors (58633120).

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

30111200 is a wasteful number, since it uses less digits than its factorization.

30111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 30111200 is about 5487.3673104687. The cubic root of 30111200 is about 311.1066930590.

Adding to 30111200 its reverse (211103), we get a palindrome (30322303).

The spelling of 30111200 in words is "thirty million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 38 40 50 56 70 76 80 95 100 112 133 140 152 160 175 190 200 224 266 280 283 304 350 380 400 475 532 560 566 608 665 700 760 800 950 1064 1120 1132 1330 1400 1415 1520 1900 1981 2128 2264 2660 2800 2830 3040 3325 3800 3962 4256 4528 5320 5377 5600 5660 6650 7075 7600 7924 9056 9905 10640 10754 11320 13300 14150 15200 15848 19810 21280 21508 22640 26600 26885 28300 31696 37639 39620 43016 45280 49525 53200 53770 56600 63392 75278 79240 86032 99050 106400 107540 113200 134425 150556 158480 172064 188195 198100 215080 226400 268850 301112 316960 376390 396200 430160 537700 602224 752780 792400 860320 940975 1075400 1204448 1505560 1584800 1881950 2150800 3011120 3763900 4301600 6022240 7527800 15055600 30111200