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130319820 = 22335241333
BaseRepresentation
bin1111100010010…
…00010111001100
3100002012221012000
413301020113030
5231330213240
620533112300
73141462111
oct761102714
9302187160
10130319820
1167620234
1237788690
1320ccb227
1413444908
15b693430
hex7c485cc

130319820 has 48 divisors (see below), whose sum is σ = 405441120. Its totient is φ = 34751808.

The previous prime is 130319801. The next prime is 130319831. The reversal of 130319820 is 28913031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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, 120127 + ... + 121206.

It is an arithmetic number, because the mean of its divisors is an integer number (8446690).

Almost surely, 2130319820 is an apocalyptic number.

130319820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130319820 is an abundant number, since it is smaller than the sum of its proper divisors (275121300).

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

130319820 is a wasteful number, since it uses less digits than its factorization.

130319820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241351 (or 241343 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 130319820 is about 11415.7706704366. The cubic root of 130319820 is about 506.9947830421.

The spelling of 130319820 in words is "one hundred thirty million, three hundred nineteen thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 241333 482666 723999 965332 1206665 1447998 2171997 2413330 2895996 3619995 4343994 4826660 6515991 7239990 8687988 10859985 13031982 14479980 21719970 26063964 32579955 43439940 65159910 130319820