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212241303142212 = 223371017901599023
BaseRepresentation
bin110000010000100001000111…
…011110101111111101000100
31000211111001220100010212102010
4300100201013132233331010
5210304330142101022322
62031222150355214220
762463633230233341
oct6020410736577504
91024431810125363
10212241303142212
1161699038560423
121b979952ba7370
139157366018446
143a5a768d8d7c8
151980d3b52c20c
hexc108477aff44

212241303142212 has 96 divisors (see below), whose sum is σ = 513715947462144. Its totient is φ = 68144742720000.

The previous prime is 212241303142181. The next prime is 212241303142303.

212241303142212 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 212241303142212.

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 31 ways as a sum of consecutive naturals, for example, 354012933 + ... + 354611955.

It is an arithmetic number, because the mean of its divisors is an integer number (5351207786064).

Almost surely, 2212241303142212 is an apocalyptic number.

It is an amenable number.

212241303142212 is an abundant number, since it is smaller than the sum of its proper divisors (301474644319932).

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

212241303142212 is a wasteful number, since it uses less digits than its factorization.

212241303142212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607069 (or 607067 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 21224130 and 3142212, that added together give a palindrome (24366342).

The spelling of 212241303142212 in words is "two hundred twelve trillion, two hundred forty-one billion, three hundred three million, one hundred forty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 37 74 101 111 148 202 222 303 404 444 606 1212 3737 7474 7901 11211 14948 15802 22422 23703 31604 44844 47406 94812 292337 584674 599023 798001 877011 1169348 1198046 1596002 1754022 1797069 2394003 2396092 3192004 3508044 3594138 4788006 7188276 9576012 22163851 29526037 44327702 59052074 60501323 66491553 88578111 88655404 118104148 121002646 132983106 177156222 181503969 242005292 265966212 354312444 363007938 726015876 2238548951 4477097902 4732880723 6715646853 8954195804 9465761446 13431293706 14198642169 18931522892 26862587412 28397284338 56794568676 175116586751 350233173502 478020953023 525349760253 700466347004 956041906046 1050699520506 1434062859069 1912083812092 2101399041012 2868125718138 5736251436276 17686775261851 35373550523702 53060325785553 70747101047404 106120651571106 212241303142212