Search a number
-
+
10010030300100 = 223252238320892789
BaseRepresentation
bin1001000110101010010001…
…0011001101101111000100
31022102221122020000021212200
42101222210103031233010
52303001020224100400
633142313333114500
72052125611444605
oct221524423155704
938387566007780
1010010030300100
11320a259163a36
121158016a88a30
13577c321c443c
142686b92dbdac
151255b57d8b00
hex91aa44cdbc4

10010030300100 has 432 divisors, whose sum is σ = 33162258729600. Its totient is φ = 2520409098240.

The previous prime is 10010030300069. The next prime is 10010030300129. The reversal of 10010030300100 is 100303001001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3589109506 + ... + 3589112294.

It is an arithmetic number, because the mean of its divisors is an integer number (76764487800).

Almost surely, 210010030300100 is an apocalyptic number.

10010030300100 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 10010030300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16581129364800).

10010030300100 is an abundant number, since it is smaller than the sum of its proper divisors (23152228429500).

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

10010030300100 is a wasteful number, since it uses less digits than its factorization.

10010030300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5004 (or 4994 counting only the distinct ones).

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

Adding to 10010030300100 its reverse (100303001001), we get a palindrome (10110333301101).

The spelling of 10010030300100 in words is "ten trillion, ten billion, thirty million, three hundred thousand, one hundred".