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120202230200 = 235213223315263
BaseRepresentation
bin110111111110010011…
…1000111100110111000
3102111021002200222011212
41233330213013212320
53432133232331300
6131115314542252
711453503045553
oct1577447074670
9374232628155
10120202230200
1146a83030718
121b367597988
13b448072800
145b6414969a
1531d7b00935
hex1bfc9c79b8

120202230200 has 144 divisors (see below), whose sum is σ = 303940278720. Its totient is φ = 44188984320.

The previous prime is 120202230133. The next prime is 120202230209. The reversal of 120202230200 is 2032202021.

It is a super-2 number, since 2×1202022302002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120202230209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7867769 + ... + 7883031.

It is an arithmetic number, because the mean of its divisors is an integer number (2110696380).

Almost surely, 2120202230200 is an apocalyptic number.

120202230200 is a gapful number since it is divisible by the number (10) 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 120202230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151970139360).

120202230200 is an abundant number, since it is smaller than the sum of its proper divisors (183738048520).

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

120202230200 is a wasteful number, since it uses less digits than its factorization.

120202230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15538 (or 15516 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 120202230200 its reverse (2032202021), we get a palindrome (122234432221).

The spelling of 120202230200 in words is "one hundred twenty billion, two hundred two million, two hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 169 200 233 260 325 338 466 520 650 676 845 932 1165 1300 1352 1690 1864 2330 2600 3029 3380 4225 4660 5825 6058 6760 8450 9320 11650 12116 15145 15263 16900 23300 24232 30290 30526 33800 39377 46600 60580 61052 75725 76315 78754 121160 122104 151450 152630 157508 196885 198419 302900 305260 315016 381575 393770 396838 605800 610520 763150 787540 793676 984425 992095 1526300 1575080 1587352 1968850 1984190 2579447 3052600 3556279 3937700 3968380 4960475 5158894 7112558 7875400 7936760 9920950 10317788 12897235 14225116 17781395 19841900 20635576 25794470 28450232 35562790 39683800 46231627 51588940 64486175 71125580 88906975 92463254 103177880 128972350 142251160 177813950 184926508 231158135 257944700 355627900 369853016 462316270 515889400 601011151 711255800 924632540 1155790675 1202022302 1849265080 2311581350 2404044604 3005055755 4623162700 4808089208 6010111510 9246325400 12020223020 15025278775 24040446040 30050557550 60101115100 120202230200