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31202324304 = 243101109137431
BaseRepresentation
bin11101000011110011…
…011010111101010000
32222112112200022020220
4131003303122331100
51002400243334204
622200102033040
72153136244344
oct350363327520
988475608226
1031202324304
1112261998088
126069718780
132c334c14b8
14171ddc1624
15c294731d9
hex743cdaf50

31202324304 has 160 divisors (see below), whose sum is σ = 82942548480. Its totient is φ = 10105344000.

The previous prime is 31202324303. The next prime is 31202324317. The reversal of 31202324304 is 40342320213.

It is a super-3 number, since 3×312023243043 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31202324303) 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, 72394969 + ... + 72395399.

It is an arithmetic number, because the mean of its divisors is an integer number (518390928).

Almost surely, 231202324304 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 31202324304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41471274240).

31202324304 is an abundant number, since it is smaller than the sum of its proper divisors (51740224176).

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

31202324304 is a wasteful number, since it uses less digits than its factorization.

31202324304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 31202324304 its reverse (40342320213), we get a palindrome (71544644517).

The spelling of 31202324304 in words is "thirty-one billion, two hundred two million, three hundred twenty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 109 137 202 218 274 303 327 404 411 431 436 548 606 654 808 822 862 872 1096 1212 1293 1308 1616 1644 1724 1744 2192 2424 2586 2616 3288 3448 4848 5172 5232 6576 6896 10344 11009 13837 14933 20688 22018 27674 29866 33027 41511 43531 44036 44799 46979 55348 59047 59732 66054 83022 87062 88072 89598 93958 110696 118094 119464 130593 132108 140937 166044 174124 176144 177141 179196 187916 221392 236188 238928 261186 264216 281874 332088 348248 354282 358392 375832 472376 522372 528432 563748 664176 696496 708564 716784 751664 944752 1044744 1127496 1417128 1508233 2089488 2254992 2834256 3016466 4524699 4744879 5963747 6032932 6436123 9049398 9489758 11927494 12065864 12872246 14234637 17891241 18098796 18979516 19308369 23854988 24131728 25744492 28469274 35782482 36197592 37959032 38616738 47709976 51488984 56938548 71564964 72395184 75918064 77233476 95419952 102977968 113877096 143129928 154466952 227754192 286259856 308933904 650048423 1300096846 1950145269 2600193692 3900290538 5200387384 7800581076 10400774768 15601162152 31202324304