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212241202142212 = 2243101110911016619
BaseRepresentation
bin110000010000100001000001…
…011101011101110000000100
31000211111001122022002112110101
4300100201001131131300010
5210304324440222022322
62031222132350333444
762463630562604605
oct6020410135356004
91024431568075411
10212241202142212
1161698a96546651
121b9799251ba284
13915734b114729
143a5a7597bbdac
151980d3272b327
hexc1084175dc04

212241202142212 has 48 divisors (see below), whose sum is σ = 384168928651200. Its totient is φ = 102533867049600.

The previous prime is 212241202142071. The next prime is 212241202142219.

It is a happy number.

212241202142212 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (212241202142219) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13757239 + ... + 24773857.

It is an arithmetic number, because the mean of its divisors is an integer number (8003519346900).

Almost surely, 2212241202142212 is an apocalyptic number.

It is an amenable number.

212241202142212 is a deficient number, since it is larger than the sum of its proper divisors (171927726508988).

212241202142212 is a wasteful number, since it uses less digits than its factorization.

212241202142212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11017876 (or 11017874 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

It can be divided in two parts, 21224120 and 2142212, that added together give a palindrome (23366332).

The spelling of 212241202142212 in words is "two hundred twelve trillion, two hundred forty-one billion, two hundred two million, one hundred forty-two thousand, two hundred twelve".

Divisors: 1 2 4 43 86 101 172 202 404 1109 2218 4343 4436 8686 17372 47687 95374 112009 190748 224018 448036 4816387 9632774 11016619 19265548 22033238 44066476 473714617 947429234 1112678519 1894858468 2225357038 4450714076 12217430471 24434860942 47845176317 48869721884 95690352634 191380705268 525349510253 1050699020506 1233960477571 2101398041012 2467920955142 4935841910284 53060300535553 106120601071106 212241202142212