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331200312000200 = 23522957103502069
BaseRepresentation
bin100101101001110011001010…
…0111100100011111011001000
31121102200102220012102201010122
41023103212110330203323020
5321402341214333001300
63132223153423202412
7126522301324632026
oct11323462474437310
91542612805381118
10331200312000200
1196592299827a75
1231190a0a446408
13112a609496b966
145bb0275925716
152845430902c85
hex12d3994f23ec8

331200312000200 has 48 divisors (see below), whose sum is σ = 796593853876500. Its totient is φ = 127911844632320.

The previous prime is 331200312000199. The next prime is 331200312000223. The reversal of 331200312000200 is 2000213002133.

It can be written as a sum of positive squares in 6 ways, for example, as 49033353673924 + 282166958326276 = 7002382^2 + 16797826^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28551745235 + ... + 28551756834.

Almost surely, 2331200312000200 is an apocalyptic number.

It is an amenable number.

331200312000200 is an abundant number, since it is smaller than the sum of its proper divisors (465393541876300).

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

331200312000200 is a wasteful number, since it uses less digits than its factorization.

331200312000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57103502114 (or 57103502105 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 331200312000200 its reverse (2000213002133), we get a palindrome (333200525002333).

The spelling of 331200312000200 in words is "three hundred thirty-one trillion, two hundred billion, three hundred twelve million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 57103502069 114207004138 228414008276 285517510345 456828016552 571035020690 1142070041380 1427587551725 1656001560001 2284140082760 2855175103450 3312003120002 5710350206900 6624006240004 8280007800005 11420700413800 13248012480008 16560015600010 33120031200020 41400039000025 66240062400040 82800078000050 165600156000100 331200312000200