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200332113312 = 25319140926713
BaseRepresentation
bin1011101010010010111…
…0010111010110100000
3201011002111012210022110
42322210232113112200
511240240010111222
6232010432235320
720321262603252
oct2724456272640
9634074183273
10200332113312
1177a62289911
12329aa99bb40
1315b78081b26
1499a6253cd2
1553276c830c
hex2ea4b975a0

200332113312 has 96 divisors (see below), whose sum is σ = 529937372160. Its totient is φ = 66262855680.

The previous prime is 200332113203. The next prime is 200332113313. The reversal of 200332113312 is 213311233002.

200332113312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (200332113313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7486068 + ... + 7512780.

It is an arithmetic number, because the mean of its divisors is an integer number (5520180960).

Almost surely, 2200332113312 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 200332113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264968686080).

200332113312 is an abundant number, since it is smaller than the sum of its proper divisors (329605258848).

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

200332113312 is a wasteful number, since it uses less digits than its factorization.

200332113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27326 (or 27318 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 200332113312 its reverse (213311233002), we get a palindrome (413643346314).

The spelling of 200332113312 in words is "two hundred billion, three hundred thirty-two million, one hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 191 382 409 573 764 818 1146 1227 1528 1636 2292 2454 3056 3272 4584 4908 6112 6544 9168 9816 13088 18336 19632 26713 39264 53426 78119 80139 106852 156238 160278 213704 234357 312476 320556 427408 468714 624952 641112 854816 937428 1249904 1282224 1874856 2499808 2564448 3749712 5102183 7499424 10204366 10925617 15306549 20408732 21851234 30613098 32776851 40817464 43702468 61226196 65553702 81634928 87404936 122452392 131107404 163269856 174809872 244904784 262214808 349619744 489809568 524429616 1048859232 2086792847 4173585694 6260378541 8347171388 12520757082 16694342776 25041514164 33388685552 50083028328 66777371104 100166056656 200332113312