Search a number
-
+
10010333130300 = 22335273251202343
BaseRepresentation
bin1001000110101011011001…
…0110011010111000111100
31022102222102022211122211000
42101222312112122320330
52303002130240132200
633142403351530300
72052136246452516
oct221526626327074
938388368748730
1010010333130300
11320a3a40a0828
1211580a0389990
13577c7cb734c9
1426870760abb6
151255d21a6300
hex91ab659ae3c

10010333130300 has 288 divisors, whose sum is σ = 32752338716160. Its totient is φ = 2622352320000.

The previous prime is 10010333130293. The next prime is 10010333130319. The reversal of 10010333130300 is 303133301001.

10010333130300 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 3 + 331 + 30 + 300 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49370929 + ... + 49573271.

It is an arithmetic number, because the mean of its divisors is an integer number (113723398320).

Almost surely, 210010333130300 is an apocalyptic number.

10010333130300 is a gapful number since it is divisible by the number (10) 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 10010333130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16376169358080).

10010333130300 is an abundant number, since it is smaller than the sum of its proper divisors (22742005585860).

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

10010333130300 is a wasteful number, since it uses less digits than its factorization.

10010333130300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202690 (or 202677 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 10010333130300 its reverse (303133301001), we get a palindrome (10313466431301).

The spelling of 10010333130300 in words is "ten trillion, ten billion, three hundred thirty-three million, one hundred thirty thousand, three hundred".