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303131135424 = 26313919132151
BaseRepresentation
bin1000110100101000000…
…01100000110111000000
31001222102201201012001210
410122110001200313000
514431303032313144
6351131224130120
730620605065135
oct4322401406700
91058381635053
10303131135424
11107614694727
124a8ba006940
132277b738670
1410958d2258c
157d42507ab9
hex4694060dc0

303131135424 has 112 divisors (see below), whose sum is σ = 864675822080. Its totient is φ = 93168921600.

The previous prime is 303131135401. The next prime is 303131135429. The reversal of 303131135424 is 424531131303.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 303131135391 and 303131135400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303131135429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2227749 + ... + 2359899.

It is an arithmetic number, because the mean of its divisors is an integer number (7720319840).

Almost surely, 2303131135424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 303131135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432337911040).

303131135424 is an abundant number, since it is smaller than the sum of its proper divisors (561544686656).

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

303131135424 is a wasteful number, since it uses less digits than its factorization.

303131135424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133098 (or 133088 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 303131135424 its reverse (424531131303), we get a palindrome (727662266727).

The spelling of 303131135424 in words is "three hundred three billion, one hundred thirty-one million, one hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 919 1248 1838 2496 2757 3676 5514 7352 11028 11947 14704 22056 23894 29408 35841 44112 47788 58816 71682 88224 95576 132151 143364 176448 191152 264302 286728 382304 396453 528604 573456 764608 792906 1057208 1146912 1585812 1717963 2114416 2293824 3171624 3435926 4228832 5153889 6343248 6871852 8457664 10307778 12686496 13743704 20615556 25372992 27487408 41231112 54974816 82462224 109949632 121446769 164924448 242893538 329848896 364340307 485787076 728680614 971574152 1457361228 1578807997 1943148304 2914722456 3157615994 3886296608 4736423991 5829444912 6315231988 7772593216 9472847982 11658889824 12630463976 18945695964 23317779648 25260927952 37891391928 50521855904 75782783856 101043711808 151565567712 303131135424