Search a number
-
+
323130313020 = 223519215795021
BaseRepresentation
bin1001011001111000001…
…00010100100100111100
31010220001111200200012010
410230330010110210330
520243232330004040
6404235524011220
732226320225304
oct4547404244474
91126044620163
10323130313020
11115047701879
125275b830b10
1324617bb5b68
14118d5072604
15861315ee80
hex4b3c11493c

323130313020 has 144 divisors (see below), whose sum is σ = 960982571808. Its totient is φ = 81112112640.

The previous prime is 323130312991. The next prime is 323130313057. The reversal of 323130313020 is 20313031323.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3353110 + ... + 3448130.

It is an arithmetic number, because the mean of its divisors is an integer number (6673490082).

Almost surely, 2323130313020 is an apocalyptic number.

323130313020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323130313020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480491285904).

323130313020 is an abundant number, since it is smaller than the sum of its proper divisors (637852258788).

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

323130313020 is a wasteful number, since it uses less digits than its factorization.

323130313020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95228 (or 95207 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 323130313020 its reverse (20313031323), we get a palindrome (343443344343).

The spelling of 323130313020 in words is "three hundred twenty-three billion, one hundred thirty million, three hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 157 190 228 285 314 361 380 471 570 628 722 785 942 1083 1140 1444 1570 1805 1884 2166 2355 2983 3140 3610 4332 4710 5415 5966 7220 8949 9420 10830 11932 14915 17898 21660 29830 35796 44745 56677 59660 89490 95021 113354 170031 178980 190042 226708 283385 285063 340062 380084 475105 566770 570126 680124 850155 950210 1133540 1140252 1425315 1700310 1805399 1900420 2850630 3400620 3610798 5416197 5701260 7221596 9026995 10832394 14918297 18053990 21664788 27080985 29836594 34302581 36107980 44754891 54161970 59673188 68605162 74591485 89509782 102907743 108323940 137210324 149182970 171512905 179019564 205815486 223774455 283447643 298365940 343025810 411630972 447548910 514538715 566895286 686051620 850342929 895097820 1029077430 1133790572 1417238215 1700685858 2058154860 2834476430 3401371716 4251714645 5385505217 5668952860 8503429290 10771010434 16156515651 17006858580 21542020868 26927526085 32313031302 53855052170 64626062604 80782578255 107710104340 161565156510 323130313020