Search a number
-
+
110001010020 = 2235111139314629
BaseRepresentation
bin110011001110010010…
…0100011010101100100
3101111221011022021212020
41212130210203111210
53300240224310040
6122311143223140
710642633105056
oct1463444432544
9344834267766
10110001010020
114271877aa40
121939b147ab0
13a4b0791855
1454773a78d6
152cdc246cd0
hex199c923564

110001010020 has 96 divisors (see below), whose sum is σ = 336055547520. Its totient is φ = 26662748160.

The previous prime is 110001010019. The next prime is 110001010037. The reversal of 110001010020 is 20010100011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 110001009990 and 110001010008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7512066 + ... + 7526694.

It is an arithmetic number, because the mean of its divisors is an integer number (3500578620).

Almost surely, 2110001010020 is an apocalyptic number.

110001010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110001010020 is an abundant number, since it is smaller than the sum of its proper divisors (226054537500).

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

110001010020 is a wasteful number, since it uses less digits than its factorization.

110001010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26045 (or 26043 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 110001010020 its reverse (20010100011), we get a palindrome (130011110031).

The spelling of 110001010020 in words is "one hundred ten billion, one million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 11393 14629 22786 29258 34179 43887 45572 56965 58516 68358 73145 87774 113930 125323 136716 146290 160919 170895 175548 219435 227860 250646 292580 321838 341790 375969 438870 482757 501292 626615 643676 683580 751938 804595 877740 965514 1253230 1503876 1609190 1879845 1931028 2413785 2506460 3218380 3759690 4827570 7519380 9655140 166668197 333336394 500004591 666672788 833340985 1000009182 1666681970 1833350167 2000018364 2500022955 3333363940 3666700334 5000045910 5500050501 7333400668 9166750835 10000091820 11000101002 18333501670 22000202004 27500252505 36667003340 55000505010 110001010020