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321131425050 = 232521949975269
BaseRepresentation
bin1001010110001001110…
…11001010110100011010
31010200220012102122101100
410223010323022310122
520230134121100200
6403305320532230
732125636034502
oct4530473126432
91120805378340
10321131425050
11114211354747
12522a2321076
1324389a3aa07
14117857c6a02
15854791bd00
hex4ac4ecad1a

321131425050 has 144 divisors (see below), whose sum is σ = 910014300000. Its totient is φ = 80964282240.

The previous prime is 321131425019. The next prime is 321131425081. The reversal of 321131425050 is 50524131123.

321131425050 is a `hidden beast` number, since 3 + 2 + 1 + 13 + 142 + 505 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (321131425019) and next prime (321131425081).

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 71 ways as a sum of consecutive naturals, for example, 4228816 + ... + 4304084.

It is an arithmetic number, because the mean of its divisors is an integer number (6319543750).

Almost surely, 2321131425050 is an apocalyptic number.

321131425050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 321131425050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455007150000).

321131425050 is an abundant number, since it is smaller than the sum of its proper divisors (588882874950).

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

321131425050 is a wasteful number, since it uses less digits than its factorization.

321131425050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75805 (or 75797 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 321131425050 its reverse (50524131123), we get a palindrome (371655556173).

The spelling of 321131425050 in words is "three hundred twenty-one billion, one hundred thirty-one million, four hundred twenty-five thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 114 150 171 190 225 285 342 450 475 499 570 855 950 998 1425 1497 1710 2495 2850 2994 4275 4491 4990 7485 8550 8982 9481 12475 14970 18962 22455 24950 28443 37425 44910 47405 56886 74850 75269 85329 94810 112275 142215 150538 170658 224550 225807 237025 284430 376345 426645 451614 474050 677421 711075 752690 853290 1129035 1354842 1422150 1430111 1881725 2133225 2258070 2860222 3387105 3763450 4266450 4290333 5645175 6774210 7150555 8580666 11290350 12870999 14301110 16935525 21451665 25741998 33871050 35752775 37559231 42903330 64354995 71505550 75118462 107258325 112677693 128709990 187796155 214516650 225355386 321774975 338033079 375592310 563388465 643549950 676066158 713625389 938980775 1126776930 1427250778 1690165395 1877961550 2140876167 2816942325 3380330790 3568126945 4281752334 5633884650 6422628501 7136253890 8450826975 10704380835 12845257002 16901653950 17840634725 21408761670 32113142505 35681269450 53521904175 64226285010 107043808350 160565712525 321131425050