Search a number
-
+
200200103231310 = 2325713195701225671
BaseRepresentation
bin101101100001010010111000…
…000010010111111101001110
3222020211221110102011102210200
4231201102320002113331032
5202220034302411400220
61545442354024114330
760111660121602450
oct5541227002277516
9866757412142720
10200200103231310
1158876429082786
121a5541556059a6
138792a33ab3570
143761a456d82d0
1518229e6605890
hexb614b8097f4e

200200103231310 has 384 divisors, whose sum is σ = 674479518935040. Its totient is φ = 40009666176000.

The previous prime is 200200103231309. The next prime is 200200103231341. The reversal of 200200103231310 is 13132301002002.

200200103231310 is a `hidden beast` number, since 2 + 0 + 0 + 20 + 0 + 10 + 323 + 1 + 310 = 666.

200200103231310 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2002001032313102 (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 887019775 + ... + 887245445.

It is an arithmetic number, because the mean of its divisors is an integer number (1756457080560).

Almost surely, 2200200103231310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200200103231310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337239759467520).

200200103231310 is an abundant number, since it is smaller than the sum of its proper divisors (474279415703730).

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

200200103231310 is a wasteful number, since it uses less digits than its factorization.

200200103231310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231424 (or 231421 counting only the distinct ones).

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

Adding to 200200103231310 its reverse (13132301002002), we get a palindrome (213332404233312).

The spelling of 200200103231310 in words is "two hundred trillion, two hundred billion, one hundred three million, two hundred thirty-one thousand, three hundred ten".