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212211021200002 = 211310113156910589
BaseRepresentation
bin110000010000000100111010…
…100010010011101010000010
31000211101011201221022211000221
4300100010322202103222002
5210303331132411400002
62031200221452133254
762461511635044466
oct6020047242235202
91024334657284027
10212211021200002
1161687209157000
121b973b0176722a
13915454b408946
143a590d53124a6
151980167caec37
hexc1013a893a82

212211021200002 has 128 divisors (see below), whose sum is σ = 356949888134400. Its totient is φ = 94599968320000.

The previous prime is 212211021199979. The next prime is 212211021200021. The reversal of 212211021200002 is 200002120112212.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20040699324 + ... + 20040709912.

It is an arithmetic number, because the mean of its divisors is an integer number (2788671001050).

Almost surely, 2212211021200002 is an apocalyptic number.

212211021200002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

212211021200002 is a deficient number, since it is larger than the sum of its proper divisors (144738866934398).

212211021200002 is a wasteful number, since it uses less digits than its factorization.

212211021200002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11425 (or 11403 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212211021200002 its reverse (200002120112212), we get a palindrome (412213141312214).

The spelling of 212211021200002 in words is "two hundred twelve trillion, two hundred eleven billion, twenty-one million, two hundred thousand, two".

Divisors: 1 2 11 22 101 121 131 202 242 262 569 1111 1138 1331 1441 2222 2662 2882 6259 10589 12221 12518 13231 15851 21178 24442 26462 31702 57469 68849 74539 114938 116479 134431 137698 145541 149078 174361 232958 268862 291082 348722 632159 757339 819929 1069489 1264318 1281269 1387159 1514678 1600951 1639858 2138978 2562538 2774318 3201902 6025141 6953749 7528439 9019219 11764379 12050282 13907498 14093959 15056878 15258749 17610461 18038438 23528758 28187918 30517498 35220922 66276551 76491239 82812829 99211409 129408169 132553102 140103059 152982478 165625658 167846239 198422818 258816338 280206118 335692478 608539241 729042061 789293471 910941119 1217078482 1423489859 1458084122 1541133649 1578586942 1821882238 1846308629 2846979718 3082267298 3692617258 6693931651 8019462671 8682228181 10020352309 13387863302 16038925342 16952470139 17364456362 20040704618 33904940278 73633248161 79718640571 95504509991 147266496322 159437281142 186477171529 191009019982 372954343058 809965729771 876905046281 1050549609901 1619931459542 1753810092562 2101099219802 9645955509091 19291911018182 106105510600001 212211021200002