Search a number
-
+
200130323130000 = 2434541229201037
BaseRepresentation
bin101101100000010001111000…
…110100011010011010010000
3222020121021100022121000020000
4231200101320310122122100
5202212413400210130000
61545350333510250000
760103636654535034
oct5540217064323220
9866537308530200
10200130323130000
115884988002486a
121a542720356900
13878929309c4a3
14375c505da41c4
151820cb0480000
hexb60478d1a690

200130323130000 has 500 divisors, whose sum is σ = 724404875408940. Its totient is φ = 53324396928000.

The previous prime is 200130323129953. The next prime is 200130323130047. The reversal of 200130323130000 is 31323031002.

200130323130000 is a `hidden beast` number, since 2 + 0 + 0 + 130 + 3 + 231 + 300 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (200130323129953) and next prime (200130323130047).

It can be written as a sum of positive squares in 10 ways, for example, as 133684283844864 + 66446039285136 = 11562192^2 + 8151444^2 .

It is a tau number, because it is divible by the number of its divisors (500).

It is a super-2 number, since 2×2001303231300002 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 995389482 + ... + 995590518.

Almost surely, 2200130323130000 is an apocalyptic number.

200130323130000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200130323130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362202437704470).

200130323130000 is an abundant number, since it is smaller than the sum of its proper divisors (524274552278940).

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

200130323130000 is a wasteful number, since it uses less digits than its factorization.

200130323130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202306 (or 202276 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 200130323130000 its reverse (31323031002), we get a palindrome (200161646161002).

The spelling of 200130323130000 in words is "two hundred trillion, one hundred thirty billion, three hundred twenty-three million, one hundred thirty thousand".