Search a number
-
+
20210200020 = 22325281463863
BaseRepresentation
bin10010110100100111…
…110010110111010100
31221011111001112110200
4102310213302313110
5312342302400040
613141234420500
71313553602643
oct226447626724
957144045420
1020210200020
11863114944a
123b00431730
131ba10c384a
14d9a1a135a
157d443c630
hex4b49f2dd4

20210200020 has 144 divisors (see below), whose sum is σ = 61726758912. Its totient is φ = 5352399360.

The previous prime is 20210200019. The next prime is 20210200057. The reversal of 20210200020 is 2000201202.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20210199975 and 20210200011.

It is a congruent number.

It is an unprimeable number.

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, 23418109 + ... + 23418971.

It is an arithmetic number, because the mean of its divisors is an integer number (428658048).

Almost surely, 220210200020 is an apocalyptic number.

20210200020 is a gapful number since it is divisible by the number (20) 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 20210200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30863379456).

20210200020 is an abundant number, since it is smaller than the sum of its proper divisors (41516558892).

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

20210200020 is a wasteful number, since it uses less digits than its factorization.

20210200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20210200020 its reverse (2000201202), we get a palindrome (22210401222).

The spelling of 20210200020 in words is "twenty billion, two hundred ten million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 281 463 562 843 863 926 1124 1389 1405 1686 1726 1852 2315 2529 2589 2778 2810 3372 3452 4167 4215 4315 4630 5058 5178 5556 5620 6945 7767 8334 8430 8630 9260 10116 10356 12645 12945 13890 15534 16668 16860 17260 20835 25290 25890 27780 31068 38835 41670 50580 51780 77670 83340 130103 155340 242503 260206 390309 399569 485006 520412 650515 727509 780618 799138 970012 1170927 1198707 1212515 1301030 1455018 1561236 1598276 1951545 1997845 2182527 2341854 2397414 2425030 2602060 2910036 3596121 3637545 3903090 3995690 4365054 4683708 4794828 4850060 5854635 5993535 7192242 7275090 7806180 7991380 8730108 10912635 11709270 11987070 14384484 14550180 17980605 21825270 23418540 23974140 35961210 43650540 71922420 112278889 224557778 336836667 449115556 561394445 673673334 1010510001 1122788890 1347346668 1684183335 2021020002 2245577780 3368366670 4042040004 5052550005 6736733340 10105100010 20210200020