Search a number
-
+
312003112300 = 225211283639193
BaseRepresentation
bin1001000101001001101…
…01011010110101101100
31002211100000220022100221
410202210311122311230
520102440244043200
6355155433301124
731353504461005
oct4424465326554
91084300808327
10312003112300
11110357694220
12505752647a4
1323563812c19
141115b3301ac
1581b134691a
hex48a4d5ad6c

312003112300 has 36 divisors (see below), whose sum is σ = 738596461176. Its totient is φ = 113455676800.

The previous prime is 312003112297. The next prime is 312003112321. The reversal of 312003112300 is 3211300213.

It is a super-3 number, since 3×3120031123003 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 141818497 + ... + 141820696.

It is an arithmetic number, because the mean of its divisors is an integer number (20516568366).

Almost surely, 2312003112300 is an apocalyptic number.

It is an amenable number.

312003112300 is an abundant number, since it is smaller than the sum of its proper divisors (426593348876).

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

312003112300 is a wasteful number, since it uses less digits than its factorization.

312003112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283639218 (or 283639211 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 312003112300 its reverse (3211300213), we get a palindrome (315214412513).

The spelling of 312003112300 in words is "three hundred twelve billion, three million, one hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 283639193 567278386 1134556772 1418195965 2836391930 3120031123 5672783860 6240062246 7090979825 12480124492 14181959650 15600155615 28363919300 31200311230 62400622460 78000778075 156001556150 312003112300