Search a number
-
+
103031233020 = 22325975900987
BaseRepresentation
bin101111111110100100…
…0111101100111111100
3100211221102102221020100
41133331020331213330
53142001443424040
6115155404521100
710305132013362
oct1377510754774
9324842387210
10103031233020
113a771499361
1217b74b50190
13993c80b251
144db5877632
152a303ecb30
hex17fd23d9fc

103031233020 has 72 divisors (see below), whose sum is σ = 315750065904. Its totient is φ = 27191743488.

The previous prime is 103031233013. The next prime is 103031233033. The reversal of 103031233020 is 20332130301.

103031233020 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 312 + 330 + 20 = 666.

103031233020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103031232984 and 103031233002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2933034 + ... + 2967953.

It is an arithmetic number, because the mean of its divisors is an integer number (4385417582).

Almost surely, 2103031233020 is an apocalyptic number.

103031233020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103031233020 is an abundant number, since it is smaller than the sum of its proper divisors (212718832884).

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

103031233020 is a wasteful number, since it uses less digits than its factorization.

103031233020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5901099 (or 5901094 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103031233020 its reverse (20332130301), we get a palindrome (123363363321).

The spelling of 103031233020 in words is "one hundred three billion, thirty-one million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 180 194 291 388 485 582 873 970 1164 1455 1746 1940 2910 3492 4365 5820 8730 17460 5900987 11801974 17702961 23603948 29504935 35405922 53108883 59009870 70811844 88514805 106217766 118019740 177029610 212435532 265544415 354059220 531088830 572395739 1062177660 1144791478 1717187217 2289582956 2861978695 3434374434 5151561651 5723957390 6868748868 8585936085 10303123302 11447914780 17171872170 20606246604 25757808255 34343744340 51515616510 103031233020