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31220424201304 = 231310116722379811
BaseRepresentation
bin1110001100101000100100…
…10010110101010001011000
311002112122101001010210111201
413012110102102311101120
513043003412043420204
6150222244225203544
76401413134055522
oct706242222652130
9132478331123451
1031220424201304
119a47564601958
123602888a905b4
1314560c5267970
1479d110260a12
153921acac49a4
hex1c65124b5458

31220424201304 has 128 divisors (see below), whose sum is σ = 64334652641280. Its totient is φ = 14117558976000.

The previous prime is 31220424201277. The next prime is 31220424201313. The reversal of 31220424201304 is 40310242402213.

It is a congruent number.

It is an unprimeable number.

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, 391139559 + ... + 391219369.

It is an arithmetic number, because the mean of its divisors is an integer number (502614473760).

Almost surely, 231220424201304 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 31220424201304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32167326320640).

31220424201304 is an abundant number, since it is smaller than the sum of its proper divisors (33114228439976).

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

31220424201304 is a wasteful number, since it uses less digits than its factorization.

31220424201304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80321 (or 80317 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 31220424201304 its reverse (40310242402213), we get a palindrome (71530666603517).

The spelling of 31220424201304 in words is "thirty-one trillion, two hundred twenty billion, four hundred twenty-four million, two hundred one thousand, three hundred four".

Divisors: 1 2 4 8 13 26 52 101 104 167 202 223 334 404 446 668 808 892 1313 1336 1784 2171 2626 2899 4342 5252 5798 8684 10504 11596 16867 17368 22523 23192 33734 37241 45046 67468 74482 79811 90092 134936 148964 159622 180184 219271 292799 297928 319244 438542 484133 585598 638488 877084 968266 1037543 1171196 1754168 1936532 2075086 2342392 3761341 3873064 4150172 7522682 8060911 8300344 13328437 15045364 16121822 17797853 26656874 30090728 32243644 35595706 48897433 53313748 64487288 71191412 97794866 104791843 106627496 142382824 173269681 195589732 209583686 231372089 346539362 391179464 419167372 462744178 693078724 838334744 925488356 1346172137 1386157448 1797583153 1850976712 2692344274 2972241451 3595166306 5384688548 5944482902 7190332612 10769377096 11888965804 14380665224 17500237781 23368580989 23777931608 35000475562 38639138863 46737161978 70000951124 77278277726 93474323956 140001902248 154556555452 186948647912 300196386551 309113110904 600392773102 1200785546204 2401571092408 3902553025163 7805106050326 15610212100652 31220424201304