Search a number
-
+
10303301131220 = 2253122677330493
BaseRepresentation
bin1001010111101110110010…
…0110101001101111010100
31100110222121202211010021202
42111323230212221233110
52322302130042144340
633525134324532032
72112250256413136
oct225735446515724
940428552733252
1010303301131220
113312672978039
1211a4a22851018
1359979bb742c6
1427897a863056
1512d02c329c15
hex95eec9a9bd4

10303301131220 has 48 divisors (see below), whose sum is σ = 22344753166848. Its totient is φ = 3986614769280.

The previous prime is 10303301131183. The next prime is 10303301131229. The reversal of 10303301131220 is 2213110330301.

It is a super-3 number, since 3×103033011312203 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10303301131192 and 10303301131201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10303301131229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2259707 + ... + 5070786.

It is an arithmetic number, because the mean of its divisors is an integer number (465515690976).

Almost surely, 210303301131220 is an apocalyptic number.

10303301131220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10303301131220 is an abundant number, since it is smaller than the sum of its proper divisors (12041452035628).

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

10303301131220 is a wasteful number, since it uses less digits than its factorization.

10303301131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7332800 (or 7332798 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 10303301131220 its reverse (2213110330301), we get a palindrome (12516411461521).

The spelling of 10303301131220 in words is "ten trillion, three hundred three billion, three hundred one million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 2267 4534 9068 11335 22670 45340 70277 140554 281108 351385 702770 1405540 7330493 14660986 29321972 36652465 73304930 146609860 227245283 454490566 908981132 1136226415 2272452830 4544905660 16618227631 33236455262 66472910524 83091138155 166182276310 332364552620 515165056561 1030330113122 2060660226244 2575825282805 5151650565610 10303301131220