Search a number
-
+
120002211121100 = 225271128355069621
BaseRepresentation
bin11011010010010000110001…
…001010101000011111001100
3120201220002200102101121212112
4123102100301022220133030
5111212104012021333400
61103120131004523152
734163605442332310
oct3322206112503714
9521802612347775
10120002211121100
11352667197aa220
12115612958504b8
1351c6210553259
14218c1d09a3b40
15dd17ed81c835
hex6d24312a87cc

120002211121100 has 144 divisors (see below), whose sum is σ = 325807743803136. Its totient is φ = 37271118816000.

The previous prime is 120002211121087. The next prime is 120002211121193. The reversal of 120002211121100 is 1121112200021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25355711 + ... + 29713910.

Almost surely, 2120002211121100 is an apocalyptic number.

120002211121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120002211121100 is an abundant number, since it is smaller than the sum of its proper divisors (205805532682036).

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

120002211121100 is a wasteful number, since it uses less digits than its factorization.

120002211121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55069936 (or 55069929 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 120002211121100 its reverse (1121112200021), we get a palindrome (121123323321121).

The spelling of 120002211121100 in words is "one hundred twenty trillion, two billion, two hundred eleven million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 283 308 350 385 550 566 700 770 1100 1132 1415 1540 1925 1981 2830 3113 3850 3962 5660 6226 7075 7700 7924 9905 12452 14150 15565 19810 21791 28300 31130 39620 43582 49525 62260 77825 87164 99050 108955 155650 198100 217910 311300 435820 544775 1089550 2179100 55069621 110139242 220278484 275348105 385487347 550696210 605765831 770974694 1101392420 1211531662 1376740525 1541949388 1927436735 2423063324 2753481050 3028829155 3854873470 4240360817 5506962100 6057658310 7709746940 8480721634 9637183675 12115316620 15144145775 15584702743 16961443268 19274367350 21201804085 30288291550 31169405486 38548734700 42403608170 60576583100 62338810972 77923513715 84807216340 106009020425 109092919201 155847027430 171431730173 212018040850 218185838402 311694054860 342863460346 389617568575 424036081700 436371676804 545464596005 685726920692 779235137150 857158650865 1090929192010 1200022111211 1558470274300 1714317301730 2181858384020 2400044222422 2727322980025 3428634603460 4285793254325 4800088444844 5454645960050 6000110556055 8571586508650 10909291920100 12000221112110 17143173017300 24000442224220 30000552780275 60001105560550 120002211121100