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200200211220100 = 225271397226804363
BaseRepresentation
bin101101100001010010111110…
…011110010100011010000100
3222020211221201221100211120111
4231201102332132110122010
5202220040013033020400
61545442412442442404
760111662602516540
oct5541227636243204
9866757657324514
10200200211220100
1158876484030313
121a554185803404
138792a50293360
143761a55ba8a20
151822a00d373ba
hexb614be794684

200200211220100 has 144 divisors (see below), whose sum is σ = 540200819740288. Its totient is φ = 62706870005760.

The previous prime is 200200211220091. The next prime is 200200211220127. The reversal of 200200211220100 is 1022112002002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 112519482 + ... + 114284881.

Almost surely, 2200200211220100 is an apocalyptic number.

200200211220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200200211220100 is an abundant number, since it is smaller than the sum of its proper divisors (340000608520188).

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

200200211220100 is a wasteful number, since it uses less digits than its factorization.

200200211220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226804494 (or 226804487 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 200200211220100 its reverse (1022112002002), we get a palindrome (201222323222102).

The spelling of 200200211220100 in words is "two hundred trillion, two hundred billion, two hundred eleven million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 97 100 130 140 175 182 194 260 325 350 364 388 455 485 650 679 700 910 970 1261 1300 1358 1820 1940 2275 2425 2522 2716 3395 4550 4850 5044 6305 6790 8827 9100 9700 12610 13580 16975 17654 25220 31525 33950 35308 44135 63050 67900 88270 126100 176540 220675 441350 882700 226804363 453608726 907217452 1134021815 1587630541 2268043630 2948456719 3175261082 4536087260 5670109075 5896913438 6350522164 7938152705 11340218150 11793826876 14742283595 15876305410 20639197033 22000023211 22680436300 29484567190 31752610820 39690763525 41278394066 44000046422 58969134380 73711417975 79381527050 82556788132 88000092844 103195985165 110000116055 147422835950 154000162477 158763054100 206391970330 220000232110 286000301743 294845671900 308000324954 412783940660 440000464220 515979925825 550000580275 572000603486 616000649908 770000812385 1031959851650 1100001160550 1144001206972 1430001508715 1540001624770 2002002112201 2063919703300 2200002321100 2860003017430 3080003249540 3850004061925 4004004224402 5720006034860 7150007543575 7700008123850 8008008448804 10010010561005 14300015087150 15400016247700 20020021122010 28600030174300 40040042244020 50050052805025 100100105610050 200200211220100