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212143343341212 = 223247202316197431
BaseRepresentation
bin110000001111000101111000…
…100111110000111010011100
31000211010201001100111101001100
4300033011320213300322130
5210301224031343404322
62031105150112513100
762453564545534023
oct6017057047607234
91024121040441040
10212143343341212
1161660539828aa8
121b96297454b790
13914b0540b935a
143a55b14c8d8ba
15197d506495dac
hexc0f1789f0e9c

212143343341212 has 72 divisors (see below), whose sum is σ = 547687988370432. Its totient is φ = 69206452912800.

The previous prime is 212143343341207. The next prime is 212143343341273.

212143343341212 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 4 + 3 + 3 + 433 + 4 + 1 + 212 = 666.

212143343341212 is nontrivially palindromic in base 10.

212143343341212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31132137 + ... + 37329567.

It is an arithmetic number, because the mean of its divisors is an integer number (7606777616256).

Almost surely, 2212143343341212 is an apocalyptic number.

It is an amenable number.

212143343341212 is an abundant number, since it is smaller than the sum of its proper divisors (335544645029220).

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

212143343341212 is a wasteful number, since it uses less digits than its factorization.

212143343341212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6217719 (or 6217714 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 212143343341212 in words is "two hundred twelve trillion, one hundred forty-three billion, three hundred forty-three million, three hundred forty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 20231 40462 60693 80924 121386 182079 242772 364158 728316 950857 1901714 2852571 3803428 5705142 6197431 8557713 11410284 12394862 17115426 18592293 24789724 34230852 37184586 55776879 74369172 111553758 223107516 291279257 582558514 873837771 1165117028 1747675542 2621513313 3495351084 5243026626 10486053252 125380226561 250760453122 376140679683 501520906244 752281359366 1128422039049 1504562718732 2256844078098 4513688156196 5892870648367 11785741296734 17678611945101 23571482593468 35357223890202 53035835835303 70714447780404 106071671670606 212143343341212