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1204334203224 = 2331943373916427
BaseRepresentation
bin10001100001100111111…
…010011001000101011000
311021010121010021110001210
4101201213322121011120
5124212434024000344
62321132525343120
7153003344552025
oct21414772310530
94233533243053
101204334203224
11424834296129
121754a9107aa0
13897505213b9
144240bdd654c
15214da478db9
hex11867e99158

1204334203224 has 128 divisors (see below), whose sum is σ = 3244070016000. Its totient is φ = 371349546624.

The previous prime is 1204334203223. The next prime is 1204334203271. The reversal of 1204334203224 is 4223024334021.

It is a junction number, because it is equal to n+sod(n) for n = 1204334203191 and 1204334203200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1204334203223) 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 31 ways as a sum of consecutive naturals, for example, 73306099 + ... + 73322525.

It is an arithmetic number, because the mean of its divisors is an integer number (25344297000).

Almost surely, 21204334203224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1204334203224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622035008000).

1204334203224 is an abundant number, since it is smaller than the sum of its proper divisors (2039735812776).

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

1204334203224 is a wasteful number, since it uses less digits than its factorization.

1204334203224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20237 (or 20233 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 1204334203224 its reverse (4223024334021), we get a palindrome (5427358537245).

The spelling of 1204334203224 in words is "one trillion, two hundred four billion, three hundred thirty-four million, two hundred three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 43 57 76 86 114 129 152 172 228 258 344 456 516 817 1032 1634 2451 3268 3739 4902 6536 7478 9804 11217 14956 16427 19608 22434 29912 32854 44868 49281 65708 71041 89736 98562 131416 142082 160777 197124 213123 284164 312113 321554 394248 426246 482331 568328 624226 643108 706361 852492 936339 964662 1248452 1286216 1412722 1704984 1872678 1929324 2119083 2496904 2825444 3054763 3745356 3858648 4238166 5650888 6109526 7490712 8476332 9164289 12219052 13420859 16952664 18328578 24438104 26841718 36657156 40262577 53683436 61420553 73314312 80525154 107366872 122841106 161050308 184261659 245682212 322100616 368523318 491364424 737046636 1166990507 1474093272 2333981014 2641083779 3500971521 4667962028 5282167558 7001943042 7923251337 9335924056 10564335116 14003886084 15846502674 21128670232 28007772168 31693005348 50180591801 63386010696 100361183602 150541775403 200722367204 301083550806 401444734408 602167101612 1204334203224