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10303112320 = 27522770919
BaseRepresentation
bin10011001100001110…
…10000010010000000
3222121001010100001121
421212013100102000
5132100044043240
64422211242024
7513215003224
oct114607202200
928531110047
1010303112320
114407924866
121bb65a9314
13c82737a87
146da506784
154047d404a
hex2661d0480

10303112320 has 64 divisors (see below), whose sum is σ = 24739732800. Its totient is φ = 4103031808.

The previous prime is 10303112317. The next prime is 10303112359. The reversal of 10303112320 is 2321130301.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10303112294 and 10303112303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109821 + ... + 180739.

It is an arithmetic number, because the mean of its divisors is an integer number (386558325).

Almost surely, 210303112320 is an apocalyptic number.

10303112320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10303112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12369866400).

10303112320 is an abundant number, since it is smaller than the sum of its proper divisors (14436620480).

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

10303112320 is an equidigital number, since it uses as much as digits as its factorization.

10303112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71165 (or 71153 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10303112320 its reverse (2321130301), we get a palindrome (12624242621).

The spelling of 10303112320 in words is "ten billion, three hundred three million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 227 320 454 640 908 1135 1816 2270 3632 4540 7264 9080 14528 18160 29056 36320 70919 72640 141838 145280 283676 354595 567352 709190 1134704 1418380 2269408 2836760 4538816 5673520 9077632 11347040 16098613 22694080 32197226 45388160 64394452 80493065 128788904 160986130 257577808 321972260 515155616 643944520 1030311232 1287889040 2060622464 2575778080 5151556160 10303112320