Search a number
-
+
200313123012 = 223319120181281
BaseRepresentation
bin1011101010001110010…
…1111011000011000100
3201011001011110222112000
42322203211323003010
511240220124414022
6232004513225300
720320642311042
oct2724345730304
9634034428460
10200313123012
1177a52599152
12329a4562230
1315b74163172
1499a390d392
155325bc66ac
hex2ea397b0c4

200313123012 has 96 divisors (see below), whose sum is σ = 547125398400. Its totient is φ = 63203328000.

The previous prime is 200313122987. The next prime is 200313123019. The reversal of 200313123012 is 210321313002.

200313123012 is a `hidden beast` number, since 20 + 0 + 31 + 312 + 301 + 2 = 666.

200313123012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (200313123019) 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 31 ways as a sum of consecutive naturals, for example, 2423812 + ... + 2505092.

It is an arithmetic number, because the mean of its divisors is an integer number (5699222900).

Almost surely, 2200313123012 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 200313123012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273562699200).

200313123012 is an abundant number, since it is smaller than the sum of its proper divisors (346812275388).

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

200313123012 is a wasteful number, since it uses less digits than its factorization.

200313123012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82514 (or 82506 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 200313123012 its reverse (210321313002), we get a palindrome (410634436014).

The spelling of 200313123012 in words is "two hundred billion, three hundred thirteen million, one hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 1201 2052 2402 3603 4804 7206 10809 14412 21618 22819 32427 43236 45638 64854 68457 81281 91276 129708 136914 162562 205371 243843 273828 325124 410742 487686 616113 731529 821484 975372 1232226 1463058 1544339 2194587 2464452 2926116 3088678 4389174 4633017 6177356 8778348 9266034 13899051 18532068 27798102 41697153 55596204 83394306 97618481 166788612 195236962 292855443 390473924 585710886 878566329 1171421772 1757132658 1854751139 2635698987 3514265316 3709502278 5271397974 5564253417 7419004556 10542795948 11128506834 16692760251 22257013668 33385520502 50078280753 66771041004 100156561506 200313123012