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200010312 = 23322777921
BaseRepresentation
bin10111110101111…
…10101001001000
3111221100120120100
423322332221020
5402200312222
631502525400
74646026305
oct1372765110
9457316510
10200010312
11a299a787
1256b96860
133258bbc8
141c7c60ac
151285c4ac
hexbebea48

200010312 has 24 divisors (see below), whose sum is σ = 541694790. Its totient is φ = 66670080.

The previous prime is 200010311. The next prime is 200010331. The reversal of 200010312 is 213010002.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 111386916 + 88623396 = 10554^2 + 9414^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 200010294 and 200010303.

It is not an unprimeable number, because it can be changed into a prime (200010311) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1388889 + ... + 1389032.

Almost surely, 2200010312 is an apocalyptic number.

It is an amenable number.

200010312 is an abundant number, since it is smaller than the sum of its proper divisors (341684478).

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

200010312 is a wasteful number, since it uses less digits than its factorization.

200010312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2777933 (or 2777926 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 200010312 is about 14142.5002032880. The cubic root of 200010312 is about 584.8135982935.

Adding to 200010312 its reverse (213010002), we get a palindrome (413020314).

The spelling of 200010312 in words is "two hundred million, ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2777921 5555842 8333763 11111684 16667526 22223368 25001289 33335052 50002578 66670104 100005156 200010312