Search a number
-
+
10320310220 = 225112231571181
BaseRepresentation
bin10011001110010001…
…10110111111001100
3222122020111002010212
421213020312333030
5132113444411340
64424024021552
7513514121663
oct114710667714
928566432125
1010320310220
114416600900
1220003018b8
13c8617994c
146dc901dda
1540607ea65
hex267236fcc

10320310220 has 144 divisors (see below), whose sum is σ = 25037256384. Its totient is φ = 3563788800.

The previous prime is 10320310213. The next prime is 10320310229. The reversal of 10320310220 is 2201302301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10320310195 and 10320310204.

It is not an unprimeable number, because it can be changed into a prime (10320310229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8738030 + ... + 8739210.

It is an arithmetic number, because the mean of its divisors is an integer number (173869836).

Almost surely, 210320310220 is an apocalyptic number.

10320310220 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 10320310220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12518628192).

10320310220 is an abundant number, since it is smaller than the sum of its proper divisors (14716946164).

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

10320310220 is a wasteful number, since it uses less digits than its factorization.

10320310220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10320310220 its reverse (2201302301), we get a palindrome (12521612521).

The spelling of 10320310220 in words is "ten billion, three hundred twenty million, three hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 121 157 220 230 242 253 314 460 484 506 605 628 785 1012 1181 1210 1265 1570 1727 2362 2420 2530 2783 3140 3454 3611 4724 5060 5566 5905 6908 7222 8635 11132 11810 12991 13915 14444 17270 18055 18997 23620 25982 27163 27830 34540 36110 37994 39721 51964 54326 55660 64955 72220 75988 79442 94985 108652 129910 135815 142901 158884 185417 189970 198605 259820 271630 285802 298793 370834 379940 397210 436931 543260 571604 597586 714505 741668 794420 873862 927085 1195172 1429010 1493965 1747724 1854170 2039587 2184655 2858020 2987930 3286723 3708340 4079174 4264591 4369310 5975860 6573446 8158348 8529182 8738620 10197935 13146892 16433615 17058364 20395870 21322955 22435457 32867230 40791740 42645910 44870914 46910501 65734460 85291820 89741828 93821002 112177285 187642004 224354570 234552505 448709140 469105010 516015511 938210020 1032031022 2064062044 2580077555 5160155110 10320310220