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212023303444 = 22419717377041
BaseRepresentation
bin1100010101110110010…
…0101101110100010100
3202021021021020210011101
43011131210231310110
511433210431202234
6241222511115444
721214064225551
oct3053544556424
9667237223141
10212023303444
1181a1169a017
1235112212b84
1316cbc252904
14a394c47a28
1557adc99814
hex315d92dd14

212023303444 has 48 divisors (see below), whose sum is σ = 386233734096. Its totient is φ = 101766758400.

The previous prime is 212023303441. The next prime is 212023303447. The reversal of 212023303444 is 444303320212.

212023303444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212023303441) and next prime (212023303447).

It can be written as a sum of positive squares in 8 ways, for example, as 2431476100 + 209591827344 = 49310^2 + 457812^2 .

It is a super-3 number, since 3×2120233034443 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212023303441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2713564 + ... + 2790604.

It is an arithmetic number, because the mean of its divisors is an integer number (8046536127).

Almost surely, 2212023303444 is an apocalyptic number.

It is an amenable number.

212023303444 is a deficient number, since it is larger than the sum of its proper divisors (174210430652).

212023303444 is a wasteful number, since it uses less digits than its factorization.

212023303444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77356 (or 77354 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 212023303444 its reverse (444303320212), we get a palindrome (656326623656).

The spelling of 212023303444 in words is "two hundred twelve billion, twenty-three million, three hundred three thousand, four hundred forty-four".

Divisors: 1 2 4 41 82 97 164 173 194 346 388 692 3977 7093 7954 14186 15908 16781 28372 33562 67124 77041 154082 308164 688021 1376042 2752084 3158681 6317362 7472977 12634724 13328093 14945954 26656186 29891908 53312372 306392057 546451813 612784114 1092903626 1225568228 1292825021 2185807252 2585650042 5171300084 53005825861 106011651722 212023303444