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212302203212 = 2211291011799203
BaseRepresentation
bin1100010110111000110…
…0101000100101001100
3202021222201001100201102
43011232030220211030
511434243331000322
6241310313002232
721224021644451
oct3055614504514
9667881040642
10212302203212
11820450715a0
123518b6b3378
1317034c73568
14a3bdcc7828
1557c84db792
hex316e32894c

212302203212 has 96 divisors (see below), whose sum is σ = 425843308800. Its totient is φ = 91725536000.

The previous prime is 212302203209. The next prime is 212302203247.

It is a happy number.

212302203212 is nontrivially palindromic in base 10.

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 31 ways as a sum of consecutive naturals, for example, 23064203 + ... + 23073405.

It is an arithmetic number, because the mean of its divisors is an integer number (4435867800).

Almost surely, 2212302203212 is an apocalyptic number.

212302203212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212302203212 is an abundant number, since it is smaller than the sum of its proper divisors (213541105588).

212302203212 is a wasteful number, since it uses less digits than its factorization.

212302203212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9527 (or 9525 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 212302 and 203212, that added together give a palindrome (415514).

The spelling of 212302203212 in words is "two hundred twelve billion, three hundred two million, two hundred three thousand, two hundred twelve".

Divisors: 1 2 4 11 22 29 44 58 101 116 179 202 319 358 404 638 716 1111 1276 1969 2222 2929 3938 4444 5191 5858 7876 9203 10382 11716 18079 18406 20764 32219 36158 36812 57101 64438 72316 101233 114202 128876 198869 202466 228404 266887 397738 404932 524291 533774 795476 929503 1048582 1067548 1647337 1859006 2097164 2935757 3294674 3718012 5767201 5871514 6589348 10224533 11534402 11743028 18120707 20449066 23068804 26955587 36241414 40898132 47772773 53911174 72482828 95545546 107822348 166381037 191091092 296511457 332762074 525500503 593022914 665524148 1051001006 1186045828 1830191407 2102002012 3660382814 4825050073 7320765628 9650100146 19300200292 53075550803 106151101606 212302203212