Search a number
-
+
320302031000 = 2353747995527
BaseRepresentation
bin1001010100100110111…
…11010010000010011000
31010121202101210001122012
410222103133102002120
520221434304443000
6403051132045052
732066245225160
oct4522337220230
91117671701565
10320302031000
11113926167716
12520b0603788
1324286c658c3
14117075a95a0
1584e9bda735
hex4a937d2098

320302031000 has 128 divisors (see below), whose sum is σ = 858376396800. Its totient is φ = 109587427200.

The previous prime is 320302030931. The next prime is 320302031029. The reversal of 320302031000 is 130203023.

It is a super-2 number, since 2×3203020310002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 31 ways as a sum of consecutive naturals, for example, 3305237 + ... + 3400763.

It is an arithmetic number, because the mean of its divisors is an integer number (6706065600).

Almost surely, 2320302031000 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 320302031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429188198400).

320302031000 is an abundant number, since it is smaller than the sum of its proper divisors (538074365800).

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

320302031000 is a wasteful number, since it uses less digits than its factorization.

320302031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96034 (or 96020 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 320302031000 its reverse (130203023), we get a palindrome (320432234023).

The spelling of 320302031000 in words is "three hundred twenty billion, three hundred two million, thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 479 500 700 875 958 1000 1400 1750 1916 2395 3353 3500 3832 4790 6706 7000 9580 11975 13412 16765 19160 23950 26824 33530 47900 59875 67060 83825 95527 95800 119750 134120 167650 191054 239500 335300 382108 419125 477635 479000 668689 670600 764216 838250 955270 1337378 1676500 1910540 2388175 2674756 3343445 3353000 3821080 4776350 5349512 6686890 9552700 11940875 13373780 16717225 19105400 23881750 26747560 33434450 45757433 47763500 66868900 83586125 91514866 95527000 133737800 167172250 183029732 228787165 320302031 334344500 366059464 457574330 640604062 668689000 915148660 1143935825 1281208124 1601510155 1830297320 2287871650 2562416248 3203020310 4575743300 5719679125 6406040620 8007550775 9151486600 11439358250 12812081240 16015101550 22878716500 32030203100 40037753875 45757433000 64060406200 80075507750 160151015500 320302031000