Search a number
-
+
10110130200 = 23325271239331
BaseRepresentation
bin10010110101001110…
…00101100000011000
3222002120222211100200
421122213011200120
5131201143131300
64351115102200
7505352455152
oct113247054030
928076884320
1010110130200
1143189a5505
121b61a41960
13c51769b81
146bca2dad2
153e28b4200
hex25a9c5818

10110130200 has 288 divisors, whose sum is σ = 34679923200. Its totient is φ = 2638944000.

The previous prime is 10110130193. The next prime is 10110130237. The reversal of 10110130200 is 203101101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30544035 + ... + 30544365.

It is an arithmetic number, because the mean of its divisors is an integer number (120416400).

Almost surely, 210110130200 is an apocalyptic number.

10110130200 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 10110130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17339961600).

10110130200 is an abundant number, since it is smaller than the sum of its proper divisors (24569793000).

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

10110130200 is a wasteful number, since it uses less digits than its factorization.

10110130200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10110130200 its reverse (203101101), we get a palindrome (10313231301).

The spelling of 10110130200 in words is "ten billion, one hundred ten million, one hundred thirty thousand, two hundred".