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20030200020 = 2234517727313
BaseRepresentation
bin10010101001111001…
…001001100011010100
31220200221100120220000
4102221321021203110
5312010212400040
613111324411300
71306236614415
oct225171114324
956627316800
1020030200020
118549586816
123a700a6b30
131b72a1c97c
14d8030780c
157c3734130
hex4a9e498d4

20030200020 has 120 divisors (see below), whose sum is σ = 66531775464. Its totient is φ = 5027180544.

The previous prime is 20030199997. The next prime is 20030200031. The reversal of 20030200020 is 2000203002.

It can be written as a sum of positive squares in 4 ways, for example, as 282643344 + 19747556676 = 16812^2 + 140526^2 .

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 = 20030199975 and 20030200011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 336117 + ... + 391196.

Almost surely, 220030200020 is an apocalyptic number.

20030200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20030200020 is an abundant number, since it is smaller than the sum of its proper divisors (46501575444).

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

20030200020 is a wasteful number, since it uses less digits than its factorization.

20030200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727351 (or 727340 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

Adding to 20030200020 its reverse (2000203002), we get a palindrome (22030403022).

The spelling of 20030200020 in words is "twenty billion, thirty million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 255 270 306 324 340 405 459 510 540 612 765 810 918 1020 1377 1530 1620 1836 2295 2754 3060 4590 5508 6885 9180 13770 27540 727313 1454626 2181939 2909252 3636565 4363878 6545817 7273130 8727756 10909695 12364321 13091634 14546260 19637451 21819390 24728642 26183268 32729085 37092963 39274902 43638780 49457284 58912353 61821605 65458170 74185926 78549804 98187255 111278889 117824706 123643210 130916340 148371852 185464815 196374510 222557778 235649412 247286420 294561765 333836667 370929630 392749020 445115556 556394445 589123530 667673334 741859260 1001510001 1112788890 1178247060 1335346668 1669183335 2003020002 2225577780 3338366670 4006040004 5007550005 6676733340 10015100010 20030200020