Search a number
-
+
10319728220 = 2257364111027
BaseRepresentation
bin10011001110001101…
…01000111001011100
3222122012101111210022
421213012220321130
5132113322300340
64424003331312
7513506146124
oct114706507134
928565344708
1010319728220
11441624360a
122000080b38
13c86004a79
146dc7cdc84
15405eb73b5
hex2671a8e5c

10319728220 has 48 divisors (see below), whose sum is σ = 22004565408. Its totient is φ = 4064624640.

The previous prime is 10319728219. The next prime is 10319728231. The reversal of 10319728220 is 2282791301.

10319728220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 930347 + ... + 941373.

It is an arithmetic number, because the mean of its divisors is an integer number (458428446).

Almost surely, 210319728220 is an apocalyptic number.

10319728220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10319728220 is an abundant number, since it is smaller than the sum of its proper divisors (11684837188).

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

10319728220 is a wasteful number, since it uses less digits than its factorization.

10319728220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11750 (or 11748 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The spelling of 10319728220 in words is "ten billion, three hundred nineteen million, seven hundred twenty-eight thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 73 146 292 365 641 730 1282 1460 2564 3205 6410 11027 12820 22054 44108 46793 55135 93586 110270 187172 220540 233965 467930 804971 935860 1609942 3219884 4024855 7068307 8049710 14136614 16099420 28273228 35341535 70683070 141366140 515986411 1031972822 2063945644 2579932055 5159864110 10319728220