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203002112300 = 2252131910975401
BaseRepresentation
bin1011110100001111011…
…1100110100100101100
3201101222120021210100212
42331003313212210230
511311222020043200
6233131411441552
720444403325001
oct2750367464454
9641876253325
10203002112300
1179102444649
1233414bb62b8
13161b2292ca0
149b7aab78a8
155431cd4035
hex2f43de692c

203002112300 has 144 divisors (see below), whose sum is σ = 503956807200. Its totient is φ = 70357248000.

The previous prime is 203002112279. The next prime is 203002112311. The reversal of 203002112300 is 3211200302.

It is a happy number.

It is a super-2 number, since 2×2030021123002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2654600 + ... + 2730000.

It is an arithmetic number, because the mean of its divisors is an integer number (3499700050).

Almost surely, 2203002112300 is an apocalyptic number.

203002112300 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 203002112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251978403600).

203002112300 is an abundant number, since it is smaller than the sum of its proper divisors (300954694900).

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

203002112300 is a wasteful number, since it uses less digits than its factorization.

203002112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75556 (or 75549 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 203002112300 its reverse (3211200302), we get a palindrome (206213312602).

The spelling of 203002112300 in words is "two hundred three billion, two million, one hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 95 100 109 130 190 218 247 260 325 380 436 475 494 545 650 950 988 1090 1235 1300 1417 1900 2071 2180 2470 2725 2834 4142 4940 5450 5668 6175 7085 8284 10355 10900 12350 14170 20710 24700 26923 28340 35425 41420 51775 53846 70850 75401 103550 107692 134615 141700 150802 207100 269230 301604 377005 538460 673075 754010 980213 1346150 1432619 1508020 1885025 1960426 2692300 2865238 3770050 3920852 4901065 5730476 7163095 7540100 8218709 9802130 14326190 16437418 18624047 19604260 24505325 28652380 32874836 35815475 37248094 41093545 49010650 71630950 74496188 82187090 93120235 98021300 106843217 143261900 156155471 164374180 186240470 205467725 213686434 312310942 372480940 410935450 427372868 465601175 534216085 624621884 780777355 821870900 931202350 1068432170 1561554710 1862404700 2030021123 2136864340 2671080425 3123109420 3903886775 4060042246 5342160850 7807773550 8120084492 10150105615 10684321700 15615547100 20300211230 40600422460 50750528075 101501056150 203002112300