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2083116300 = 22352193111789
BaseRepresentation
bin111110000101001…
…1101010100001100
312101011202021100120
41330022131110030
513231234210200
6542412224540
7102423124236
oct17412352414
95334667316
102083116300
11979957121
124a176b150
13272758cc5
1415a933256
15c2d2e9a0
hex7c29d50c

2083116300 has 144 divisors (see below), whose sum is σ = 6549580800. Its totient is φ = 509241600.

The previous prime is 2083116227. The next prime is 2083116307. The reversal of 2083116300 is 36113802.

It is not an unprimeable number, because it can be changed into a prime (2083116307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170806 + ... + 182594.

It is an arithmetic number, because the mean of its divisors is an integer number (45483200).

Almost surely, 22083116300 is an apocalyptic number.

2083116300 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 2083116300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3274790400).

2083116300 is an abundant number, since it is smaller than the sum of its proper divisors (4466464500).

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

2083116300 is a wasteful number, since it uses less digits than its factorization.

2083116300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11856 (or 11849 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2083116300 is about 45641.1689157936. The cubic root of 2083116300 is about 1277.1380351983.

The spelling of 2083116300 in words is "two billion, eighty-three million, one hundred sixteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 31 38 50 57 60 62 75 76 93 95 100 114 124 150 155 186 190 228 285 300 310 372 380 465 475 570 589 620 775 930 950 1140 1178 1425 1550 1767 1860 1900 2325 2356 2850 2945 3100 3534 4650 5700 5890 7068 8835 9300 11780 11789 14725 17670 23578 29450 35340 35367 44175 47156 58900 58945 70734 88350 117890 141468 176700 176835 223991 235780 294725 353670 365459 447982 589450 671973 707340 730918 884175 895964 1096377 1119955 1178900 1343946 1461836 1768350 1827295 2192754 2239910 2687892 3359865 3536700 3654590 4385508 4479820 5481885 5599775 6719730 6943721 7309180 9136475 10963770 11199550 13439460 13887442 16799325 18272950 20831163 21927540 22399100 27409425 27774884 33598650 34718605 36545900 41662326 54818850 67197300 69437210 83324652 104155815 109637700 138874420 173593025 208311630 347186050 416623260 520779075 694372100 1041558150 2083116300