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200300103312 = 24323571317743
BaseRepresentation
bin1011101010001011010…
…0010000011010010000
3201011000020222111211220
42322202310100122100
511240203311301222
6232003330205040
720320423533531
oct2724264203220
9634006874756
10200300103312
1177a46206271
12329a0123780
1315b71554cba
1499a1cc0688
1553249a3b5c
hex2ea2d10690

200300103312 has 80 divisors (see below), whose sum is σ = 540886714368. Its totient is φ = 63751754880.

The previous prime is 200300103287. The next prime is 200300103329. The reversal of 200300103312 is 213301003002.

200300103312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 200300103291 and 200300103300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471513 + ... + 789255.

Almost surely, 2200300103312 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 200300103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270443357184).

200300103312 is an abundant number, since it is smaller than the sum of its proper divisors (340586611056).

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

200300103312 is a wasteful number, since it uses less digits than its factorization.

200300103312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318348 (or 318342 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 200300103312 its reverse (213301003002), we get a palindrome (413601106314).

The spelling of 200300103312 in words is "two hundred billion, three hundred million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 571 1104 1142 1713 2284 3426 4568 6852 9136 13133 13704 26266 27408 39399 52532 78798 105064 157596 210128 315192 317743 630384 635486 953229 1270972 1906458 2541944 3812916 5083888 7308089 7625832 14616178 15251664 21924267 29232356 43848534 58464712 87697068 116929424 175394136 181431253 350788272 362862506 544293759 725725012 1088587518 1451450024 2177175036 2902900048 4172918819 4354350072 8345837638 8708700144 12518756457 16691675276 25037512914 33383350552 50075025828 66766701104 100150051656 200300103312