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220200302010 = 2351310133116889
BaseRepresentation
bin1100110100010011110…
…1011111010110111010
3210001101010201100110010
43031010331133112322
512101432234131020
6245054132402350
721623524453533
oct3150475372672
9701333640403
10220200302010
118542836a077
12368147763b6
13179c33586c0
14a92cc2768a
155adbaa8de0
hex3344f5f5ba

220200302010 has 128 divisors (see below), whose sum is σ = 576538663680. Its totient is φ = 53501184000.

The previous prime is 220200302009. The next prime is 220200302011. The reversal of 220200302010 is 10203002022.

It is an interprime number because it is at equal distance from previous prime (220200302009) and next prime (220200302011).

It is not an unprimeable number, because it can be changed into a prime (220200302011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13029646 + ... + 13046534.

It is an arithmetic number, because the mean of its divisors is an integer number (4504208310).

Almost surely, 2220200302010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220200302010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288269331840).

220200302010 is an abundant number, since it is smaller than the sum of its proper divisors (356338361670).

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

220200302010 is a wasteful number, since it uses less digits than its factorization.

220200302010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17344.

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 220200302010 its reverse (10203002022), we get a palindrome (230403304032).

The spelling of 220200302010 in words is "two hundred twenty billion, two hundred million, three hundred two thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 101 130 195 202 303 331 390 505 606 662 993 1010 1313 1515 1655 1986 2626 3030 3310 3939 4303 4965 6565 7878 8606 9930 12909 13130 16889 19695 21515 25818 33431 33778 39390 43030 50667 64545 66862 84445 100293 101334 129090 167155 168890 200586 219557 253335 334310 434603 439114 501465 506670 658671 869206 1002930 1097785 1303809 1317342 1705789 2173015 2195570 2607618 3293355 3411578 4346030 5117367 5590259 6519045 6586710 8528945 10234734 11180518 13038090 16770777 17057890 22175257 25586835 27951295 33541554 44350514 51173670 55902590 66525771 72673367 83853885 110876285 133051542 145346734 167707770 218020101 221752570 332628855 363366835 436040202 564616159 665257710 726733670 1090100505 1129232318 1693848477 2180201010 2823080795 3387696954 5646161590 7340010067 8469242385 14680020134 16938484770 22020030201 36700050335 44040060402 73400100670 110100151005 220200302010