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212112320310 = 2325111091965641
BaseRepresentation
bin1100010110001011100…
…0010010011100110110
3202021111110202022100100
43011202320102130312
511433401223222220
6241235411054530
721216224655132
oct3054270223466
9667443668310
10212112320310
1181a57969780
1235137ba1446
131700481c207
14a3a29ba3c2
1557b69ced90
hex3162e12736

212112320310 has 96 divisors (see below), whose sum is σ = 607147500960. Its totient is φ = 50949388800.

The previous prime is 212112320297. The next prime is 212112320311. The reversal of 212112320310 is 13023211212.

212112320310 is a `hidden beast` number, since 2 + 1 + 21 + 12 + 320 + 310 = 666.

It is a super-2 number, since 2×2121123203102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112320311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 874911 + ... + 1090730.

It is an arithmetic number, because the mean of its divisors is an integer number (6324453135).

Almost surely, 2212112320310 is an apocalyptic number.

212112320310 is an abundant number, since it is smaller than the sum of its proper divisors (395035180650).

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

212112320310 is a wasteful number, since it uses less digits than its factorization.

212112320310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965774 (or 1965771 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212112320310 its reverse (13023211212), we get a palindrome (225135531522).

The spelling of 212112320310 in words is "two hundred twelve billion, one hundred twelve million, three hundred twenty thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 109 110 165 198 218 327 330 495 545 654 981 990 1090 1199 1635 1962 2398 3270 3597 4905 5995 7194 9810 10791 11990 17985 21582 35970 53955 107910 1965641 3931282 5896923 9828205 11793846 17690769 19656410 21622051 29484615 35381538 43244102 58969230 64866153 88453845 108110255 129732306 176907690 194598459 214254869 216220510 324330765 389196918 428509738 642764607 648661530 972992295 1071274345 1285529214 1928293821 1945984590 2142548690 2356803559 3213823035 3856587642 4713607118 6427646070 7070410677 9641469105 11784017795 14140821354 19282938210 21211232031 23568035590 35352053385 42422464062 70704106770 106056160155 212112320310