Search a number
-
+
20320302220200 = 23325235509317921
BaseRepresentation
bin1001001111011001100000…
…11001010100001110101000
32122221121020210121011211100
410213230300121110032220
510130411434332021300
6111115003514201400
74165044013665513
oct447546031241650
978847223534740
1020320302220200
116524878943914
122342264123260
13b452722b4798
14503717875d7a
1525389eaac700
hex127b306543a8

20320302220200 has 144 divisors (see below), whose sum is σ = 68244484779900. Its totient is φ = 5418577612800.

The previous prime is 20320302220181. The next prime is 20320302220291. The reversal of 20320302220200 is 202220302302.

20320302220200 is a `hidden beast` number, since 2 + 0 + 320 + 302 + 2 + 20 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4500448273476 + 15819853946724 = 2121426^2 + 3977418^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63757240 + ... + 64075160.

Almost surely, 220320302220200 is an apocalyptic number.

20320302220200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20320302220200 is an abundant number, since it is smaller than the sum of its proper divisors (47924182559700).

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

20320302220200 is a wasteful number, since it uses less digits than its factorization.

20320302220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353452 (or 353440 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 20320302220200 its reverse (202220302302), we get a palindrome (20522522522502).

The spelling of 20320302220200 in words is "twenty trillion, three hundred twenty billion, three hundred two million, two hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 35509 71018 106527 142036 177545 213054 284072 317921 319581 355090 426108 532635 635842 639162 710180 852216 887725 953763 1065270 1271684 1278324 1420360 1589605 1597905 1775450 1907526 2130540 2543368 2556648 2663175 2861289 3179210 3195810 3550900 3815052 4261080 4768815 5326350 5722578 6358420 6391620 7101800 7630104 7948025 7989525 9537630 10652700 11445156 12716840 12783240 14306445 15896050 15979050 19075260 21305400 22890312 23844075 28612890 31792100 31958100 38150520 47688150 57225780 63584200 63916200 71532225 95376300 114451560 143064450 190752600 286128900 572257800 11289056789 22578113578 33867170367 45156227156 56445283945 67734340734 90312454312 101601511101 112890567890 135468681468 169335851835 203203022202 225781135780 270937362936 282226419725 338671703670 406406044404 451562271560 508007555505 564452839450 677343407340 812812088808 846679259175 1016015111010 1128905678900 1354686814680 1693358518350 2032030222020 2257811357800 2540037777525 3386717036700 4064060444040 5080075555050 6773434073400 10160151110100 20320302220200