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30513202350 = 23523123328163
BaseRepresentation
bin11100011010101110…
…101000010010101110
32220202111222021122120
4130122232220102232
5444442334433400
622003443453410
72130100640421
oct343256502256
986674867576
1030513202350
1111a389a8604
125ab6987266
132b537c0527
1416966799b8
15bd8bedca0
hex71aba84ae

30513202350 has 96 divisors (see below), whose sum is σ = 78451835904. Its totient is φ = 7840300800.

The previous prime is 30513202309. The next prime is 30513202367. The reversal of 30513202350 is 5320231503.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 30513202350.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1069369 + ... + 1097531.

It is an arithmetic number, because the mean of its divisors is an integer number (817206624).

Almost surely, 230513202350 is an apocalyptic number.

30513202350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30513202350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39225917952).

30513202350 is an abundant number, since it is smaller than the sum of its proper divisors (47938633554).

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

30513202350 is a wasteful number, since it uses less digits than its factorization.

30513202350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28442 (or 28437 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

Adding to 30513202350 its reverse (5320231503), we get a palindrome (35833433853).

The spelling of 30513202350 in words is "thirty billion, five hundred thirteen million, two hundred two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 150 155 186 233 310 465 466 699 775 930 1165 1398 1550 2325 2330 3495 4650 5825 6990 7223 11650 14446 17475 21669 28163 34950 36115 43338 56326 72230 84489 108345 140815 168978 180575 216690 281630 361150 422445 541725 704075 844890 873053 1083450 1408150 1746106 2112225 2619159 4224450 4365265 5238318 6561979 8730530 13095795 13123958 19685937 21826325 26191590 32809895 39371874 43652650 65478975 65619790 98429685 130957950 164049475 196859370 203421349 328098950 406842698 492148425 610264047 984296850 1017106745 1220528094 2034213490 3051320235 5085533725 6102640470 10171067450 15256601175 30513202350